library(tidyverse)## Warning: package 'ggplot2' was built under R version 4.0.4
library(openintro)
library(ggplot2)
library(plotrix)Week 9 Lab: Looking at atheism survey and exploring what’s at play when making inference about population proportions using categorical data. Correct link for article: https://www.webpages.uidaho.edu/~stevel/251/Global_INDEX_of_Religiosity_and_Atheism_PR__6.pdf
# Insert code for Exercise 1 hereCorrect link for article: https://www.webpages.uidaho.edu/~stevel/251/Global_INDEX_of_Religiosity_and_Atheism_PR__6.pdf
In the first paragraph, several key findings are reported. Do these percentages appear to be sample statistics (derived from the data sample) or population parameters?
Answer* Most of the percentages appear to be sample statistics that are derived from the sample data as opposed to percentages from population percentages. The % findings outlined in the paragraph seem to be sample statistics. Had these been population percentages, they would have been conclusions drawn from the sample statistics and would relate to the entire population, or the population parameter.
Worth noting, I also looked for Greek letters (sigma, mu) in search of parameters; I looked for English letters to indicate statistics (x-bar; p-hat).
Paragraph 1: “Zurich, 27 July 2012 — We have no opinion polling data prior to the 20th century, but according to the latest global poll released by WIN-Gallup International, a world-wide network of leading opinion pollsters, atheists are a small minority in the early years of 21st century. Only 13% say they are atheists. They are mostly concentrated in East Asia where 47% of the Chinese and 31% of the Japanese say they are atheists; and Western Europe, 14% of whose population says the same. Elsewhere sizeable majorities claim to be religious; the global average is 59%. Another sizeable group claims to be “not-religious” but stops short of defining itself as “atheist”. Their global average is 23%." …
The title of the report is “Global Index of Religiosity and Atheism”. To generalize the report’s findings to the global human population, what must we assume about the sampling method? Does that seem like a reasonable assumption?
Answer “Global” indicates this is an index of religiosity and atheism of the world population. To generalize findings, we must assume the sampling method used was random and representative across the entire world. In looking at the sample size and mode of field work (see snippet below), and thinking about it from a “reasonable assumption” perspective, it does not seem reasonable. If a sample of 1,000 was taken from each country, it seems there could be a problem with the sampling since there are population differences between large countries and small countries. The global index could be skewed if the countries aren’t represented proportionally in the sampling.
Sample Size and Mode of Field Work: A total of 51,927 persons were interviewed globally. In each country a national probability sample of around 1000 men and women was interviewed either face to face (35 countries; n=33,890), via telephone (11 countries; n=7,661) or online (11 countries; n=10,376).
#Go to Table 6 (pages 15 and 16), which reports the sample size and response percentages for all 57 countries.
#While this is a useful format to summarize the data, we will base our analysis on the original data set of individual responses to the survey. #Load this data set into R with the following command.
download.file("http://www.openintro.org/stat/data/atheism.RData", destfile = "atheism.RData")
load("atheism.RData")view(atheism)What does each row of Table 6 correspond to? What does each row of atheism correspond to?
Answer Table 6 shows the following:
1. Countries included in the polling (shows countries of the world that were included in the sample) 2. Sample size of each country (gives us indication of proportions) 3. Responses as a percentage for each country
Each row of the data set “atheism” corresponds to the following: 1. nationality (individual responses from each country) 2. response (as an atheist or non-atheist value as opposed to response percentages as seen in the table) 3. year (the year the response was gathered)
glimpse(atheism)## Rows: 88,032
## Columns: 3
## $ nationality <fct> Afghanistan, Afghanistan, Afghanistan, Afghanistan, Afg...
## $ response <fct> non-atheist, non-atheist, non-atheist, non-atheist, non...
## $ year <int> 2012, 2012, 2012, 2012, 2012, 2012, 2012, 2012, 2012, 2...
To investigate the link between these two ways of organizing this data, take a look at the estimated proportion of atheists in the United States. Towards the bottom of Table 6, we see that this is 5%. We should be able to come to the same number using the atheism data.
Using the command below, create a new dataframe called us12 that contains only the rows in atheism associated with resApondents to the 2012 survey from the United States. Next, calculate the proportion of atheist responses. Does it agree with the percentage in Table 6? If not, why?
Answer Calculated proportion of atheist responses = 0.0499002, which is approximately 5%. (see code chunks below) Percentage in table 6: 5% atheist responses of 1002 responses Yes, the calculated proportion of atheist responses agrees with the percentage in Table 6.
us12 <- subset(atheism, nationality == "United States" & year == "2012")summary(us12)## nationality response year
## United States:1002 atheist : 50 Min. :2012
## Afghanistan : 0 non-atheist:952 1st Qu.:2012
## Argentina : 0 Median :2012
## Armenia : 0 Mean :2012
## Australia : 0 3rd Qu.:2012
## Austria : 0 Max. :2012
## (Other) : 0
#calculate proportion of atheist responses
#get number of us atheists
us_atheist <- nrow (us12[us12$response =="atheist",])
us_atheist## [1] 50
#calculate proportion of atheist responses
#get number of us rows
us_rows <- nrow(us12)
us_rows## [1] 1002
#calculate proportion of atheist responses
us_atheist/us_rows## [1] 0.0499002
Inference on proportions As was hinted at in Exercise 1, Table 6 provides statistics, that is, calculations made from the sample of 51,927 people. What we’d like, though, is insight into the population parameters. You answer the question, “What proportion of people in your sample reported being atheists?” with a statistic; while the question “What proportion of people on earth would report being atheists” is answered with an estimate of the parameter.
The inferential tools for estimating population proportion are analogous to those used for means in the last chapter: the confidence interval and the hypothesis test.
Write out the conditions for inference to construct a 95% confidence interval for the proportion of atheists in the United States in 2012. Are you confident all conditions are met?
Answer In the last chapter lab, we checked if the conditions necessary for inference were satisfied by obtaining sample sizes to check the conditions. We computed group size by using the by command as follows: by(nc\(weight, nc\)habit, length)
If the random (picked radomly across the country) sample size is less than 10% of the US population, the observations are independent - and this condition necessary for inference is satisfied as observations must be independent. In the us12 data set, there are 1,002 observations. This number of observations is significantly below 10% of the US population, so the observations are, in fact, independent.
In the US in 2012, the success/fail condition is satisfied:
Calc 1 - Population of 1,002 * 0.0499 = 50 Calc 2 - Population of 1,002 * 0.9500 = 952 Both calculations are greater than 10. The condition is met if there are at least 10 expected successes and 10 expected failures in the sample.
Expected number of successes is at least 10: np ≥ 10 Expected number of failures is at least 10: n(1-p) ≥ 10 where n is the sample size & p is the probability of success on a given trial.
I am confident all conditions are met.
#calculate proportion of non_atheist responses
#get number of us non-atheists
us_non_atheist <- nrow (us12[us12$response =="non-atheist",])
us_non_atheist## [1] 952
#calculate proportion of non_atheist responses
us_non_atheist/us_rows## [1] 0.9500998
#Success/fail condition satisfied: Is the calculation greater than 10?
us_rows *(us_atheist/us_rows)## [1] 50
#Success/fail condition satisfied: Is the calculation greater than 10?
us_rows *(us_non_atheist/us_rows)## [1] 952
#If the conditions for inference are reasonable, calculate the standard error and construct the interval using the inference function
inference(us12$response, est = "proportion", type = "ci", method = "theoretical",
success = "atheist")## Warning: package 'BHH2' was built under R version 4.0.4
## Single proportion -- success: atheist
## Summary statistics:
## p_hat = 0.0499 ; n = 1002
## Check conditions: number of successes = 50 ; number of failures = 952
## Standard error = 0.0069
## 95 % Confidence interval = ( 0.0364 , 0.0634 )
Note that since the goal is to construct an interval estimate for a proportion, it’s necessary to specify what constitutes a “success”, which here is a response of “atheist”.
Although formal confidence intervals and hypothesis tests don’t show up in the report, suggestions of inference appear at the bottom of page 7: “In general, the error margin for surveys of this kind is ± 3-5% at 95% confidence”.
Based on the R output, what is the margin of error, statistic expressing the amount of random sampling error in the results, for the estimate of the proportion of atheists in US in 2012?
Answer Copied/pasted summary statistics from ‘R Console’ output above: Summary statistics: p_hat = 0.0499 ; n = 1002 Check conditions: number of successes = 50 ; number of failures = 952 Standard error = 0.0069 95 % Confidence interval = ( 0.0364 , 0.0634 )
Calculated moE = 0.0135 (see code chunk below)
#find margin of error
lower_boundary <- 0.0364
upper_boundary <- 0.0634
diff <- upper_boundary-lower_boundary
moE <- diff/2
moE## [1] 0.0135
Using the inference function, calculate confidence intervals for the proportion of atheists in 2012 in two other countries of your choice, and report the associated margins of error. Be sure to note whether the conditions for inference are met. It may be helpful to create new data sets for each of the two countries first, and then use these data sets in the inference function to construct the confidence intervals.
Answer If the random (picked radomly across the country) sample size is less than 10% of the countries (India and Poland) populations, the observations are independent - and this condition necessary for inference is satisfied as observations must be independent. In the india12 data set, there are 1,092 observations. This number of observations is significantly below 10% of India’s population, so the observations are, in fact, independent. In the poland12 data set, there are 525 observations. This number of observations is also significantly below 10% of Poland’s population, so the observations are also independent.
In India in 2012, the success/fail condition is satisfied:
Calc 1 - Population of 1,092 * 0.03021978 = 33 Calc 2 - Population of 1,092 * 0.9697802 = 1059 Both calculations are greater than 10. The condition is met if there are at least 10 expected successes and 10 expected failures in the sample.
Expected number of successes is at least 10: np ≥ 10 Expected number of failures is at least 10: n(1-p) ≥ 10 where n is the sample size & p is the probability of success on a given trial.
I am confident the conditions for inference are met.
In Poland in 2012, the success/fail condition is satisfied:
Calc 1 - Population of 525 * 0.04952381 = 26 Calc 2 - Population of 525 * 0.9504762. = 499 Both calculations are greater than 10. The condition is met if there are at least 10 expected successes and 10 expected failures in the sample.
Expected number of successes is at least 10: np ≥ 10 Expected number of failures is at least 10: n(1-p) ≥ 10 where n is the sample size & p is the probability of success on a given trial.
I am confident the conditions for inference are met.
moE for India = 0.01015
moE for Poland = 0.01855
#Create data sets for two additional countries
#India
india12 <- subset(atheism, nationality == "India" & year == "2012")
india12## nationality response year
## 21654 India non-atheist 2012
## 21655 India non-atheist 2012
## 21656 India non-atheist 2012
## 21657 India non-atheist 2012
## 21658 India non-atheist 2012
## 21659 India non-atheist 2012
## 21660 India non-atheist 2012
## 21661 India non-atheist 2012
## 21662 India non-atheist 2012
## 21663 India atheist 2012
## 21664 India non-atheist 2012
## 21665 India non-atheist 2012
## 21666 India non-atheist 2012
## 21667 India non-atheist 2012
## 21668 India non-atheist 2012
## 21669 India non-atheist 2012
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## 21710 India non-atheist 2012
## 21711 India non-atheist 2012
## 21712 India non-atheist 2012
## 21713 India non-atheist 2012
## 21714 India non-atheist 2012
## 21715 India atheist 2012
## 21716 India non-atheist 2012
## 21717 India non-atheist 2012
## 21718 India non-atheist 2012
## 21719 India non-atheist 2012
## 21720 India non-atheist 2012
## 21721 India atheist 2012
## 21722 India atheist 2012
## 21723 India non-atheist 2012
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## 21727 India non-atheist 2012
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## 21754 India atheist 2012
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## 21781 India atheist 2012
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## 21820 India atheist 2012
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## 21896 India atheist 2012
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## 21966 India non-atheist 2012
## 21967 India non-atheist 2012
## 21968 India non-atheist 2012
## 21969 India non-atheist 2012
## 21970 India non-atheist 2012
## 21971 India atheist 2012
## 21972 India non-atheist 2012
## 21973 India non-atheist 2012
## 21974 India non-atheist 2012
## 21975 India non-atheist 2012
## 21976 India non-atheist 2012
## 21977 India non-atheist 2012
## 21978 India non-atheist 2012
## 21979 India non-atheist 2012
## 21980 India non-atheist 2012
## 21981 India non-atheist 2012
## 21982 India non-atheist 2012
## 21983 India non-atheist 2012
## 21984 India non-atheist 2012
## 21985 India non-atheist 2012
## 21986 India non-atheist 2012
## 21987 India non-atheist 2012
## 21988 India non-atheist 2012
## 21989 India non-atheist 2012
## 21990 India non-atheist 2012
## 21991 India non-atheist 2012
## 21992 India non-atheist 2012
## 21993 India non-atheist 2012
## 21994 India non-atheist 2012
## 21995 India non-atheist 2012
## 21996 India non-atheist 2012
## 21997 India non-atheist 2012
## 21998 India non-atheist 2012
## 21999 India atheist 2012
## 22000 India non-atheist 2012
## 22001 India non-atheist 2012
## 22002 India non-atheist 2012
## 22003 India non-atheist 2012
## 22004 India non-atheist 2012
## 22005 India non-atheist 2012
## 22006 India non-atheist 2012
## 22007 India non-atheist 2012
## 22008 India non-atheist 2012
## 22009 India non-atheist 2012
## 22010 India non-atheist 2012
## 22011 India non-atheist 2012
## 22012 India non-atheist 2012
## 22013 India non-atheist 2012
## 22014 India non-atheist 2012
## 22015 India non-atheist 2012
## 22016 India non-atheist 2012
## 22017 India non-atheist 2012
## 22018 India non-atheist 2012
## 22019 India non-atheist 2012
## 22020 India non-atheist 2012
## 22021 India non-atheist 2012
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## 22107 India atheist 2012
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## 22119 India non-atheist 2012
## 22120 India non-atheist 2012
## 22121 India non-atheist 2012
## 22122 India non-atheist 2012
## 22123 India non-atheist 2012
## 22124 India non-atheist 2012
## 22125 India non-atheist 2012
## 22126 India non-atheist 2012
## 22127 India non-atheist 2012
## 22128 India non-atheist 2012
## 22129 India non-atheist 2012
## 22130 India non-atheist 2012
## 22131 India atheist 2012
## 22132 India non-atheist 2012
## 22133 India non-atheist 2012
## 22134 India non-atheist 2012
## 22135 India non-atheist 2012
## 22136 India non-atheist 2012
## 22137 India non-atheist 2012
## 22138 India non-atheist 2012
## 22139 India non-atheist 2012
## 22140 India non-atheist 2012
## 22141 India non-atheist 2012
## 22142 India non-atheist 2012
## 22143 India non-atheist 2012
## 22144 India non-atheist 2012
## 22145 India non-atheist 2012
## 22146 India non-atheist 2012
## 22147 India non-atheist 2012
## 22148 India non-atheist 2012
## 22149 India non-atheist 2012
## 22150 India non-atheist 2012
## 22151 India non-atheist 2012
## 22152 India non-atheist 2012
## 22153 India non-atheist 2012
## 22154 India non-atheist 2012
## 22155 India non-atheist 2012
## 22156 India non-atheist 2012
## 22157 India non-atheist 2012
## 22158 India non-atheist 2012
## 22159 India non-atheist 2012
## 22160 India non-atheist 2012
## 22161 India non-atheist 2012
## 22162 India non-atheist 2012
## 22163 India non-atheist 2012
## 22164 India non-atheist 2012
## 22165 India non-atheist 2012
## 22166 India non-atheist 2012
## 22167 India non-atheist 2012
## 22168 India non-atheist 2012
## 22169 India non-atheist 2012
## 22170 India non-atheist 2012
## 22171 India non-atheist 2012
## 22172 India non-atheist 2012
## 22173 India non-atheist 2012
## 22174 India non-atheist 2012
## 22175 India non-atheist 2012
## 22176 India non-atheist 2012
## 22177 India non-atheist 2012
## 22178 India non-atheist 2012
## 22179 India non-atheist 2012
## 22180 India non-atheist 2012
## 22181 India non-atheist 2012
## 22182 India non-atheist 2012
## 22183 India non-atheist 2012
## 22184 India non-atheist 2012
## 22185 India non-atheist 2012
## 22186 India non-atheist 2012
## 22187 India non-atheist 2012
## 22188 India non-atheist 2012
## 22189 India non-atheist 2012
## 22190 India non-atheist 2012
## 22191 India non-atheist 2012
## 22192 India non-atheist 2012
## 22193 India non-atheist 2012
## 22194 India non-atheist 2012
## 22195 India non-atheist 2012
## 22196 India non-atheist 2012
## 22197 India non-atheist 2012
## 22198 India non-atheist 2012
## 22199 India non-atheist 2012
## 22200 India non-atheist 2012
## 22201 India non-atheist 2012
## 22202 India non-atheist 2012
## 22203 India non-atheist 2012
## 22204 India non-atheist 2012
## 22205 India non-atheist 2012
## 22206 India non-atheist 2012
## 22207 India non-atheist 2012
## 22208 India non-atheist 2012
## 22209 India non-atheist 2012
## 22210 India non-atheist 2012
## 22211 India non-atheist 2012
## 22212 India non-atheist 2012
## 22213 India non-atheist 2012
## 22214 India non-atheist 2012
## 22215 India non-atheist 2012
## 22216 India non-atheist 2012
## 22217 India non-atheist 2012
## 22218 India atheist 2012
## 22219 India non-atheist 2012
## 22220 India non-atheist 2012
## 22221 India non-atheist 2012
## 22222 India non-atheist 2012
## 22223 India non-atheist 2012
## 22224 India non-atheist 2012
## 22225 India non-atheist 2012
## 22226 India non-atheist 2012
## 22227 India non-atheist 2012
## 22228 India non-atheist 2012
## 22229 India non-atheist 2012
## 22230 India non-atheist 2012
## 22231 India non-atheist 2012
## 22232 India non-atheist 2012
## 22233 India non-atheist 2012
## 22234 India non-atheist 2012
## 22235 India non-atheist 2012
## 22236 India non-atheist 2012
## 22237 India non-atheist 2012
## 22238 India non-atheist 2012
## 22239 India non-atheist 2012
## 22240 India non-atheist 2012
## 22241 India non-atheist 2012
## 22242 India atheist 2012
## 22243 India atheist 2012
## 22244 India non-atheist 2012
## 22245 India non-atheist 2012
## 22246 India non-atheist 2012
## 22247 India non-atheist 2012
## 22248 India non-atheist 2012
## 22249 India non-atheist 2012
## 22250 India non-atheist 2012
## 22251 India non-atheist 2012
## 22252 India non-atheist 2012
## 22253 India non-atheist 2012
## 22254 India non-atheist 2012
## 22255 India non-atheist 2012
## 22256 India non-atheist 2012
## 22257 India non-atheist 2012
## 22258 India non-atheist 2012
## 22259 India non-atheist 2012
## 22260 India non-atheist 2012
## 22261 India non-atheist 2012
## 22262 India non-atheist 2012
## 22263 India non-atheist 2012
## 22264 India non-atheist 2012
## 22265 India non-atheist 2012
## 22266 India non-atheist 2012
## 22267 India non-atheist 2012
## 22268 India non-atheist 2012
## 22269 India non-atheist 2012
## 22270 India non-atheist 2012
## 22271 India non-atheist 2012
## 22272 India non-atheist 2012
## 22273 India non-atheist 2012
## 22274 India non-atheist 2012
## 22275 India non-atheist 2012
## 22276 India non-atheist 2012
## 22277 India atheist 2012
## 22278 India non-atheist 2012
## 22279 India non-atheist 2012
## 22280 India non-atheist 2012
## 22281 India non-atheist 2012
## 22282 India non-atheist 2012
## 22283 India non-atheist 2012
## 22284 India non-atheist 2012
## 22285 India non-atheist 2012
## 22286 India non-atheist 2012
## 22287 India non-atheist 2012
## 22288 India non-atheist 2012
## 22289 India non-atheist 2012
## 22290 India non-atheist 2012
## 22291 India non-atheist 2012
## 22292 India non-atheist 2012
## 22293 India non-atheist 2012
## 22294 India non-atheist 2012
## 22295 India non-atheist 2012
## 22296 India non-atheist 2012
## 22297 India non-atheist 2012
## 22298 India non-atheist 2012
## 22299 India non-atheist 2012
## 22300 India non-atheist 2012
## 22301 India non-atheist 2012
## 22302 India non-atheist 2012
## 22303 India non-atheist 2012
## 22304 India non-atheist 2012
## 22305 India non-atheist 2012
## 22306 India non-atheist 2012
## 22307 India non-atheist 2012
## 22308 India non-atheist 2012
## 22309 India non-atheist 2012
## 22310 India non-atheist 2012
## 22311 India non-atheist 2012
## 22312 India non-atheist 2012
## 22313 India non-atheist 2012
## 22314 India non-atheist 2012
## 22315 India non-atheist 2012
## 22316 India non-atheist 2012
## 22317 India non-atheist 2012
## 22318 India non-atheist 2012
## 22319 India non-atheist 2012
## 22320 India non-atheist 2012
## 22321 India non-atheist 2012
## 22322 India non-atheist 2012
## 22323 India non-atheist 2012
## 22324 India non-atheist 2012
## 22325 India non-atheist 2012
## 22326 India non-atheist 2012
## 22327 India non-atheist 2012
## 22328 India non-atheist 2012
## 22329 India non-atheist 2012
## 22330 India non-atheist 2012
## 22331 India non-atheist 2012
## 22332 India non-atheist 2012
## 22333 India non-atheist 2012
## 22334 India non-atheist 2012
## 22335 India non-atheist 2012
## 22336 India non-atheist 2012
## 22337 India non-atheist 2012
## 22338 India atheist 2012
## 22339 India non-atheist 2012
## 22340 India non-atheist 2012
## 22341 India non-atheist 2012
## 22342 India non-atheist 2012
## 22343 India non-atheist 2012
## 22344 India non-atheist 2012
## 22345 India non-atheist 2012
## 22346 India non-atheist 2012
## 22347 India non-atheist 2012
## 22348 India non-atheist 2012
## 22349 India non-atheist 2012
## 22350 India atheist 2012
## 22351 India non-atheist 2012
## 22352 India non-atheist 2012
## 22353 India non-atheist 2012
## 22354 India non-atheist 2012
## 22355 India non-atheist 2012
## 22356 India non-atheist 2012
## 22357 India non-atheist 2012
## 22358 India non-atheist 2012
## 22359 India non-atheist 2012
## 22360 India non-atheist 2012
## 22361 India non-atheist 2012
## 22362 India non-atheist 2012
## 22363 India non-atheist 2012
## 22364 India non-atheist 2012
## 22365 India non-atheist 2012
## 22366 India non-atheist 2012
## 22367 India non-atheist 2012
## 22368 India non-atheist 2012
## 22369 India non-atheist 2012
## 22370 India non-atheist 2012
## 22371 India non-atheist 2012
## 22372 India non-atheist 2012
## 22373 India non-atheist 2012
## 22374 India non-atheist 2012
## 22375 India non-atheist 2012
## 22376 India non-atheist 2012
## 22377 India non-atheist 2012
## 22378 India non-atheist 2012
## 22379 India non-atheist 2012
## 22380 India non-atheist 2012
## 22381 India non-atheist 2012
## 22382 India non-atheist 2012
## 22383 India non-atheist 2012
## 22384 India non-atheist 2012
## 22385 India non-atheist 2012
## 22386 India non-atheist 2012
## 22387 India non-atheist 2012
## 22388 India non-atheist 2012
## 22389 India atheist 2012
## 22390 India non-atheist 2012
## 22391 India non-atheist 2012
## 22392 India non-atheist 2012
## 22393 India non-atheist 2012
## 22394 India non-atheist 2012
## 22395 India non-atheist 2012
## 22396 India non-atheist 2012
## 22397 India non-atheist 2012
## 22398 India non-atheist 2012
## 22399 India non-atheist 2012
## 22400 India non-atheist 2012
## 22401 India non-atheist 2012
## 22402 India non-atheist 2012
## 22403 India non-atheist 2012
## 22404 India atheist 2012
## 22405 India non-atheist 2012
## 22406 India non-atheist 2012
## 22407 India non-atheist 2012
## 22408 India non-atheist 2012
## 22409 India non-atheist 2012
## 22410 India non-atheist 2012
## 22411 India non-atheist 2012
## 22412 India non-atheist 2012
## 22413 India non-atheist 2012
## 22414 India non-atheist 2012
## 22415 India non-atheist 2012
## 22416 India non-atheist 2012
## 22417 India non-atheist 2012
## 22418 India non-atheist 2012
## 22419 India non-atheist 2012
## 22420 India non-atheist 2012
## 22421 India non-atheist 2012
## 22422 India non-atheist 2012
## 22423 India non-atheist 2012
## 22424 India non-atheist 2012
## 22425 India non-atheist 2012
## 22426 India non-atheist 2012
## 22427 India non-atheist 2012
## 22428 India non-atheist 2012
## 22429 India non-atheist 2012
## 22430 India non-atheist 2012
## 22431 India atheist 2012
## 22432 India non-atheist 2012
## 22433 India non-atheist 2012
## 22434 India non-atheist 2012
## 22435 India non-atheist 2012
## 22436 India non-atheist 2012
## 22437 India non-atheist 2012
## 22438 India non-atheist 2012
## 22439 India non-atheist 2012
## 22440 India non-atheist 2012
## 22441 India non-atheist 2012
## 22442 India non-atheist 2012
## 22443 India atheist 2012
## 22444 India non-atheist 2012
## 22445 India non-atheist 2012
## 22446 India non-atheist 2012
## 22447 India non-atheist 2012
## 22448 India non-atheist 2012
## 22449 India non-atheist 2012
## 22450 India non-atheist 2012
## 22451 India non-atheist 2012
## 22452 India non-atheist 2012
## 22453 India non-atheist 2012
## 22454 India non-atheist 2012
## 22455 India non-atheist 2012
## 22456 India non-atheist 2012
## 22457 India non-atheist 2012
## 22458 India non-atheist 2012
## 22459 India non-atheist 2012
## 22460 India non-atheist 2012
## 22461 India non-atheist 2012
## 22462 India non-atheist 2012
## 22463 India non-atheist 2012
## 22464 India non-atheist 2012
## 22465 India non-atheist 2012
## 22466 India non-atheist 2012
## 22467 India non-atheist 2012
## 22468 India non-atheist 2012
## 22469 India non-atheist 2012
## 22470 India non-atheist 2012
## 22471 India non-atheist 2012
## 22472 India non-atheist 2012
## 22473 India non-atheist 2012
## 22474 India non-atheist 2012
## 22475 India non-atheist 2012
## 22476 India non-atheist 2012
## 22477 India non-atheist 2012
## 22478 India non-atheist 2012
## 22479 India non-atheist 2012
## 22480 India non-atheist 2012
## 22481 India non-atheist 2012
## 22482 India non-atheist 2012
## 22483 India non-atheist 2012
## 22484 India non-atheist 2012
## 22485 India non-atheist 2012
## 22486 India non-atheist 2012
## 22487 India non-atheist 2012
## 22488 India non-atheist 2012
## 22489 India non-atheist 2012
## 22490 India non-atheist 2012
## 22491 India non-atheist 2012
## 22492 India non-atheist 2012
## 22493 India non-atheist 2012
## 22494 India non-atheist 2012
## 22495 India non-atheist 2012
## 22496 India non-atheist 2012
## 22497 India non-atheist 2012
## 22498 India non-atheist 2012
## 22499 India non-atheist 2012
## 22500 India non-atheist 2012
## 22501 India non-atheist 2012
## 22502 India non-atheist 2012
## 22503 India non-atheist 2012
## 22504 India non-atheist 2012
## 22505 India non-atheist 2012
## 22506 India non-atheist 2012
## 22507 India non-atheist 2012
## 22508 India non-atheist 2012
## 22509 India non-atheist 2012
## 22510 India non-atheist 2012
## 22511 India non-atheist 2012
## 22512 India non-atheist 2012
## 22513 India non-atheist 2012
## 22514 India non-atheist 2012
## 22515 India non-atheist 2012
## 22516 India non-atheist 2012
## 22517 India non-atheist 2012
## 22518 India non-atheist 2012
## 22519 India non-atheist 2012
## 22520 India non-atheist 2012
## 22521 India non-atheist 2012
## 22522 India non-atheist 2012
## 22523 India non-atheist 2012
## 22524 India non-atheist 2012
## 22525 India non-atheist 2012
## 22526 India non-atheist 2012
## 22527 India non-atheist 2012
## 22528 India non-atheist 2012
## 22529 India non-atheist 2012
## 22530 India non-atheist 2012
## 22531 India non-atheist 2012
## 22532 India atheist 2012
## 22533 India non-atheist 2012
## 22534 India non-atheist 2012
## 22535 India non-atheist 2012
## 22536 India non-atheist 2012
## 22537 India non-atheist 2012
## 22538 India non-atheist 2012
## 22539 India non-atheist 2012
## 22540 India non-atheist 2012
## 22541 India non-atheist 2012
## 22542 India non-atheist 2012
## 22543 India non-atheist 2012
## 22544 India non-atheist 2012
## 22545 India non-atheist 2012
## 22546 India non-atheist 2012
## 22547 India non-atheist 2012
## 22548 India non-atheist 2012
## 22549 India non-atheist 2012
## 22550 India non-atheist 2012
## 22551 India non-atheist 2012
## 22552 India non-atheist 2012
## 22553 India non-atheist 2012
## 22554 India non-atheist 2012
## 22555 India non-atheist 2012
## 22556 India non-atheist 2012
## 22557 India non-atheist 2012
## 22558 India non-atheist 2012
## 22559 India non-atheist 2012
## 22560 India non-atheist 2012
## 22561 India non-atheist 2012
## 22562 India non-atheist 2012
## 22563 India non-atheist 2012
## 22564 India non-atheist 2012
## 22565 India non-atheist 2012
## 22566 India non-atheist 2012
## 22567 India non-atheist 2012
## 22568 India non-atheist 2012
## 22569 India non-atheist 2012
## 22570 India non-atheist 2012
## 22571 India non-atheist 2012
## 22572 India non-atheist 2012
## 22573 India non-atheist 2012
## 22574 India non-atheist 2012
## 22575 India non-atheist 2012
## 22576 India non-atheist 2012
## 22577 India non-atheist 2012
## 22578 India non-atheist 2012
## 22579 India non-atheist 2012
## 22580 India non-atheist 2012
## 22581 India non-atheist 2012
## 22582 India non-atheist 2012
## 22583 India non-atheist 2012
## 22584 India non-atheist 2012
## 22585 India non-atheist 2012
## 22586 India non-atheist 2012
## 22587 India non-atheist 2012
## 22588 India non-atheist 2012
## 22589 India non-atheist 2012
## 22590 India non-atheist 2012
## 22591 India non-atheist 2012
## 22592 India non-atheist 2012
## 22593 India non-atheist 2012
## 22594 India non-atheist 2012
## 22595 India non-atheist 2012
## 22596 India non-atheist 2012
## 22597 India non-atheist 2012
## 22598 India non-atheist 2012
## 22599 India non-atheist 2012
## 22600 India non-atheist 2012
## 22601 India non-atheist 2012
## 22602 India non-atheist 2012
## 22603 India non-atheist 2012
## 22604 India non-atheist 2012
## 22605 India non-atheist 2012
## 22606 India non-atheist 2012
## 22607 India non-atheist 2012
## 22608 India non-atheist 2012
## 22609 India non-atheist 2012
## 22610 India non-atheist 2012
## 22611 India atheist 2012
## 22612 India non-atheist 2012
## 22613 India non-atheist 2012
## 22614 India non-atheist 2012
## 22615 India non-atheist 2012
## 22616 India non-atheist 2012
## 22617 India non-atheist 2012
## 22618 India non-atheist 2012
## 22619 India non-atheist 2012
## 22620 India non-atheist 2012
## 22621 India non-atheist 2012
## 22622 India non-atheist 2012
## 22623 India non-atheist 2012
## 22624 India non-atheist 2012
## 22625 India non-atheist 2012
## 22626 India non-atheist 2012
## 22627 India non-atheist 2012
## 22628 India non-atheist 2012
## 22629 India non-atheist 2012
## 22630 India non-atheist 2012
## 22631 India non-atheist 2012
## 22632 India non-atheist 2012
## 22633 India non-atheist 2012
## 22634 India non-atheist 2012
## 22635 India non-atheist 2012
## 22636 India non-atheist 2012
## 22637 India non-atheist 2012
## 22638 India non-atheist 2012
## 22639 India non-atheist 2012
## 22640 India non-atheist 2012
## 22641 India non-atheist 2012
## 22642 India non-atheist 2012
## 22643 India non-atheist 2012
## 22644 India non-atheist 2012
## 22645 India non-atheist 2012
## 22646 India non-atheist 2012
## 22647 India non-atheist 2012
## 22648 India non-atheist 2012
## 22649 India non-atheist 2012
## 22650 India non-atheist 2012
## 22651 India non-atheist 2012
## 22652 India non-atheist 2012
## 22653 India non-atheist 2012
## 22654 India non-atheist 2012
## 22655 India atheist 2012
## 22656 India non-atheist 2012
## 22657 India non-atheist 2012
## 22658 India non-atheist 2012
## 22659 India non-atheist 2012
## 22660 India non-atheist 2012
## 22661 India non-atheist 2012
## 22662 India non-atheist 2012
## 22663 India non-atheist 2012
## 22664 India non-atheist 2012
## 22665 India non-atheist 2012
## 22666 India non-atheist 2012
## 22667 India non-atheist 2012
## 22668 India non-atheist 2012
## 22669 India non-atheist 2012
## 22670 India non-atheist 2012
## 22671 India non-atheist 2012
## 22672 India non-atheist 2012
## 22673 India non-atheist 2012
## 22674 India non-atheist 2012
## 22675 India non-atheist 2012
## 22676 India non-atheist 2012
## 22677 India non-atheist 2012
## 22678 India non-atheist 2012
## 22679 India non-atheist 2012
## 22680 India non-atheist 2012
## 22681 India non-atheist 2012
## 22682 India non-atheist 2012
## 22683 India non-atheist 2012
## 22684 India non-atheist 2012
## 22685 India atheist 2012
## 22686 India non-atheist 2012
## 22687 India non-atheist 2012
## 22688 India non-atheist 2012
## 22689 India non-atheist 2012
## 22690 India non-atheist 2012
## 22691 India atheist 2012
## 22692 India non-atheist 2012
## 22693 India non-atheist 2012
## 22694 India non-atheist 2012
## 22695 India non-atheist 2012
## 22696 India non-atheist 2012
## 22697 India non-atheist 2012
## 22698 India non-atheist 2012
## 22699 India non-atheist 2012
## 22700 India non-atheist 2012
## 22701 India non-atheist 2012
## 22702 India non-atheist 2012
## 22703 India non-atheist 2012
## 22704 India non-atheist 2012
## 22705 India non-atheist 2012
## 22706 India non-atheist 2012
## 22707 India non-atheist 2012
## 22708 India non-atheist 2012
## 22709 India non-atheist 2012
## 22710 India non-atheist 2012
## 22711 India non-atheist 2012
## 22712 India non-atheist 2012
## 22713 India non-atheist 2012
## 22714 India non-atheist 2012
## 22715 India non-atheist 2012
## 22716 India non-atheist 2012
## 22717 India non-atheist 2012
## 22718 India non-atheist 2012
## 22719 India non-atheist 2012
## 22720 India non-atheist 2012
## 22721 India non-atheist 2012
## 22722 India non-atheist 2012
## 22723 India non-atheist 2012
## 22724 India non-atheist 2012
## 22725 India non-atheist 2012
## 22726 India non-atheist 2012
## 22727 India non-atheist 2012
## 22728 India non-atheist 2012
## 22729 India non-atheist 2012
## 22730 India non-atheist 2012
## 22731 India non-atheist 2012
## 22732 India non-atheist 2012
## 22733 India non-atheist 2012
## 22734 India non-atheist 2012
## 22735 India non-atheist 2012
## 22736 India non-atheist 2012
## 22737 India non-atheist 2012
## 22738 India non-atheist 2012
## 22739 India non-atheist 2012
## 22740 India non-atheist 2012
## 22741 India non-atheist 2012
## 22742 India non-atheist 2012
## 22743 India non-atheist 2012
## 22744 India non-atheist 2012
## 22745 India non-atheist 2012
#Create data sets for two additional countries
#India
poland12 <- subset(atheism, nationality == "Poland" & year == "2012")
poland12## nationality response year
## 39908 Poland non-atheist 2012
## 39909 Poland non-atheist 2012
## 39910 Poland non-atheist 2012
## 39911 Poland non-atheist 2012
## 39912 Poland non-atheist 2012
## 39913 Poland non-atheist 2012
## 39914 Poland non-atheist 2012
## 39915 Poland non-atheist 2012
## 39916 Poland non-atheist 2012
## 39917 Poland non-atheist 2012
## 39918 Poland non-atheist 2012
## 39919 Poland non-atheist 2012
## 39920 Poland non-atheist 2012
## 39921 Poland non-atheist 2012
## 39922 Poland non-atheist 2012
## 39923 Poland atheist 2012
## 39924 Poland non-atheist 2012
## 39925 Poland non-atheist 2012
## 39926 Poland non-atheist 2012
## 39927 Poland atheist 2012
## 39928 Poland atheist 2012
## 39929 Poland non-atheist 2012
## 39930 Poland non-atheist 2012
## 39931 Poland non-atheist 2012
## 39932 Poland non-atheist 2012
## 39933 Poland non-atheist 2012
## 39934 Poland non-atheist 2012
## 39935 Poland non-atheist 2012
## 39936 Poland non-atheist 2012
## 39937 Poland non-atheist 2012
## 39938 Poland non-atheist 2012
## 39939 Poland non-atheist 2012
## 39940 Poland non-atheist 2012
## 39941 Poland non-atheist 2012
## 39942 Poland non-atheist 2012
## 39943 Poland non-atheist 2012
## 39944 Poland non-atheist 2012
## 39945 Poland non-atheist 2012
## 39946 Poland non-atheist 2012
## 39947 Poland non-atheist 2012
## 39948 Poland non-atheist 2012
## 39949 Poland non-atheist 2012
## 39950 Poland non-atheist 2012
## 39951 Poland non-atheist 2012
## 39952 Poland non-atheist 2012
## 39953 Poland non-atheist 2012
## 39954 Poland non-atheist 2012
## 39955 Poland non-atheist 2012
## 39956 Poland non-atheist 2012
## 39957 Poland non-atheist 2012
## 39958 Poland non-atheist 2012
## 39959 Poland non-atheist 2012
## 39960 Poland non-atheist 2012
## 39961 Poland non-atheist 2012
## 39962 Poland non-atheist 2012
## 39963 Poland non-atheist 2012
## 39964 Poland non-atheist 2012
## 39965 Poland non-atheist 2012
## 39966 Poland non-atheist 2012
## 39967 Poland non-atheist 2012
## 39968 Poland non-atheist 2012
## 39969 Poland non-atheist 2012
## 39970 Poland non-atheist 2012
## 39971 Poland non-atheist 2012
## 39972 Poland non-atheist 2012
## 39973 Poland non-atheist 2012
## 39974 Poland non-atheist 2012
## 39975 Poland non-atheist 2012
## 39976 Poland non-atheist 2012
## 39977 Poland non-atheist 2012
## 39978 Poland non-atheist 2012
## 39979 Poland non-atheist 2012
## 39980 Poland non-atheist 2012
## 39981 Poland non-atheist 2012
## 39982 Poland non-atheist 2012
## 39983 Poland non-atheist 2012
## 39984 Poland non-atheist 2012
## 39985 Poland non-atheist 2012
## 39986 Poland non-atheist 2012
## 39987 Poland non-atheist 2012
## 39988 Poland non-atheist 2012
## 39989 Poland non-atheist 2012
## 39990 Poland non-atheist 2012
## 39991 Poland non-atheist 2012
## 39992 Poland atheist 2012
## 39993 Poland non-atheist 2012
## 39994 Poland non-atheist 2012
## 39995 Poland non-atheist 2012
## 39996 Poland non-atheist 2012
## 39997 Poland non-atheist 2012
## 39998 Poland atheist 2012
## 39999 Poland non-atheist 2012
## 40000 Poland non-atheist 2012
## 40001 Poland non-atheist 2012
## 40002 Poland non-atheist 2012
## 40003 Poland non-atheist 2012
## 40004 Poland non-atheist 2012
## 40005 Poland non-atheist 2012
## 40006 Poland atheist 2012
## 40007 Poland non-atheist 2012
## 40008 Poland non-atheist 2012
## 40009 Poland non-atheist 2012
## 40010 Poland non-atheist 2012
## 40011 Poland non-atheist 2012
## 40012 Poland non-atheist 2012
## 40013 Poland non-atheist 2012
## 40014 Poland non-atheist 2012
## 40015 Poland non-atheist 2012
## 40016 Poland non-atheist 2012
## 40017 Poland non-atheist 2012
## 40018 Poland non-atheist 2012
## 40019 Poland non-atheist 2012
## 40020 Poland non-atheist 2012
## 40021 Poland non-atheist 2012
## 40022 Poland non-atheist 2012
## 40023 Poland non-atheist 2012
## 40024 Poland non-atheist 2012
## 40025 Poland non-atheist 2012
## 40026 Poland non-atheist 2012
## 40027 Poland non-atheist 2012
## 40028 Poland non-atheist 2012
## 40029 Poland atheist 2012
## 40030 Poland non-atheist 2012
## 40031 Poland non-atheist 2012
## 40032 Poland non-atheist 2012
## 40033 Poland non-atheist 2012
## 40034 Poland non-atheist 2012
## 40035 Poland non-atheist 2012
## 40036 Poland non-atheist 2012
## 40037 Poland non-atheist 2012
## 40038 Poland non-atheist 2012
## 40039 Poland non-atheist 2012
## 40040 Poland non-atheist 2012
## 40041 Poland non-atheist 2012
## 40042 Poland non-atheist 2012
## 40043 Poland non-atheist 2012
## 40044 Poland non-atheist 2012
## 40045 Poland non-atheist 2012
## 40046 Poland non-atheist 2012
## 40047 Poland non-atheist 2012
## 40048 Poland non-atheist 2012
## 40049 Poland non-atheist 2012
## 40050 Poland non-atheist 2012
## 40051 Poland non-atheist 2012
## 40052 Poland non-atheist 2012
## 40053 Poland non-atheist 2012
## 40054 Poland non-atheist 2012
## 40055 Poland non-atheist 2012
## 40056 Poland atheist 2012
## 40057 Poland non-atheist 2012
## 40058 Poland non-atheist 2012
## 40059 Poland atheist 2012
## 40060 Poland non-atheist 2012
## 40061 Poland non-atheist 2012
## 40062 Poland non-atheist 2012
## 40063 Poland non-atheist 2012
## 40064 Poland non-atheist 2012
## 40065 Poland non-atheist 2012
## 40066 Poland non-atheist 2012
## 40067 Poland non-atheist 2012
## 40068 Poland non-atheist 2012
## 40069 Poland non-atheist 2012
## 40070 Poland non-atheist 2012
## 40071 Poland non-atheist 2012
## 40072 Poland non-atheist 2012
## 40073 Poland non-atheist 2012
## 40074 Poland non-atheist 2012
## 40075 Poland non-atheist 2012
## 40076 Poland non-atheist 2012
## 40077 Poland non-atheist 2012
## 40078 Poland non-atheist 2012
## 40079 Poland non-atheist 2012
## 40080 Poland non-atheist 2012
## 40081 Poland non-atheist 2012
## 40082 Poland non-atheist 2012
## 40083 Poland atheist 2012
## 40084 Poland atheist 2012
## 40085 Poland non-atheist 2012
## 40086 Poland non-atheist 2012
## 40087 Poland non-atheist 2012
## 40088 Poland non-atheist 2012
## 40089 Poland non-atheist 2012
## 40090 Poland non-atheist 2012
## 40091 Poland non-atheist 2012
## 40092 Poland non-atheist 2012
## 40093 Poland non-atheist 2012
## 40094 Poland non-atheist 2012
## 40095 Poland non-atheist 2012
## 40096 Poland non-atheist 2012
## 40097 Poland non-atheist 2012
## 40098 Poland non-atheist 2012
## 40099 Poland non-atheist 2012
## 40100 Poland non-atheist 2012
## 40101 Poland non-atheist 2012
## 40102 Poland atheist 2012
## 40103 Poland non-atheist 2012
## 40104 Poland non-atheist 2012
## 40105 Poland non-atheist 2012
## 40106 Poland non-atheist 2012
## 40107 Poland non-atheist 2012
## 40108 Poland non-atheist 2012
## 40109 Poland non-atheist 2012
## 40110 Poland non-atheist 2012
## 40111 Poland non-atheist 2012
## 40112 Poland non-atheist 2012
## 40113 Poland non-atheist 2012
## 40114 Poland non-atheist 2012
## 40115 Poland non-atheist 2012
## 40116 Poland non-atheist 2012
## 40117 Poland non-atheist 2012
## 40118 Poland non-atheist 2012
## 40119 Poland non-atheist 2012
## 40120 Poland non-atheist 2012
## 40121 Poland non-atheist 2012
## 40122 Poland non-atheist 2012
## 40123 Poland non-atheist 2012
## 40124 Poland non-atheist 2012
## 40125 Poland non-atheist 2012
## 40126 Poland non-atheist 2012
## 40127 Poland non-atheist 2012
## 40128 Poland non-atheist 2012
## 40129 Poland non-atheist 2012
## 40130 Poland non-atheist 2012
## 40131 Poland non-atheist 2012
## 40132 Poland non-atheist 2012
## 40133 Poland non-atheist 2012
## 40134 Poland non-atheist 2012
## 40135 Poland non-atheist 2012
## 40136 Poland non-atheist 2012
## 40137 Poland non-atheist 2012
## 40138 Poland non-atheist 2012
## 40139 Poland non-atheist 2012
## 40140 Poland non-atheist 2012
## 40141 Poland non-atheist 2012
## 40142 Poland non-atheist 2012
## 40143 Poland non-atheist 2012
## 40144 Poland atheist 2012
## 40145 Poland non-atheist 2012
## 40146 Poland non-atheist 2012
## 40147 Poland non-atheist 2012
## 40148 Poland non-atheist 2012
## 40149 Poland non-atheist 2012
## 40150 Poland atheist 2012
## 40151 Poland non-atheist 2012
## 40152 Poland non-atheist 2012
## 40153 Poland non-atheist 2012
## 40154 Poland non-atheist 2012
## 40155 Poland non-atheist 2012
## 40156 Poland non-atheist 2012
## 40157 Poland non-atheist 2012
## 40158 Poland atheist 2012
## 40159 Poland non-atheist 2012
## 40160 Poland non-atheist 2012
## 40161 Poland non-atheist 2012
## 40162 Poland non-atheist 2012
## 40163 Poland non-atheist 2012
## 40164 Poland non-atheist 2012
## 40165 Poland non-atheist 2012
## 40166 Poland non-atheist 2012
## 40167 Poland non-atheist 2012
## 40168 Poland non-atheist 2012
## 40169 Poland non-atheist 2012
## 40170 Poland non-atheist 2012
## 40171 Poland non-atheist 2012
## 40172 Poland non-atheist 2012
## 40173 Poland non-atheist 2012
## 40174 Poland non-atheist 2012
## 40175 Poland non-atheist 2012
## 40176 Poland non-atheist 2012
## 40177 Poland non-atheist 2012
## 40178 Poland non-atheist 2012
## 40179 Poland non-atheist 2012
## 40180 Poland non-atheist 2012
## 40181 Poland non-atheist 2012
## 40182 Poland non-atheist 2012
## 40183 Poland non-atheist 2012
## 40184 Poland non-atheist 2012
## 40185 Poland non-atheist 2012
## 40186 Poland non-atheist 2012
## 40187 Poland non-atheist 2012
## 40188 Poland non-atheist 2012
## 40189 Poland non-atheist 2012
## 40190 Poland non-atheist 2012
## 40191 Poland non-atheist 2012
## 40192 Poland non-atheist 2012
## 40193 Poland non-atheist 2012
## 40194 Poland non-atheist 2012
## 40195 Poland non-atheist 2012
## 40196 Poland non-atheist 2012
## 40197 Poland non-atheist 2012
## 40198 Poland non-atheist 2012
## 40199 Poland non-atheist 2012
## 40200 Poland non-atheist 2012
## 40201 Poland non-atheist 2012
## 40202 Poland non-atheist 2012
## 40203 Poland non-atheist 2012
## 40204 Poland non-atheist 2012
## 40205 Poland non-atheist 2012
## 40206 Poland non-atheist 2012
## 40207 Poland non-atheist 2012
## 40208 Poland non-atheist 2012
## 40209 Poland non-atheist 2012
## 40210 Poland non-atheist 2012
## 40211 Poland non-atheist 2012
## 40212 Poland non-atheist 2012
## 40213 Poland non-atheist 2012
## 40214 Poland non-atheist 2012
## 40215 Poland non-atheist 2012
## 40216 Poland non-atheist 2012
## 40217 Poland non-atheist 2012
## 40218 Poland non-atheist 2012
## 40219 Poland non-atheist 2012
## 40220 Poland non-atheist 2012
## 40221 Poland atheist 2012
## 40222 Poland non-atheist 2012
## 40223 Poland atheist 2012
## 40224 Poland non-atheist 2012
## 40225 Poland non-atheist 2012
## 40226 Poland non-atheist 2012
## 40227 Poland non-atheist 2012
## 40228 Poland non-atheist 2012
## 40229 Poland non-atheist 2012
## 40230 Poland non-atheist 2012
## 40231 Poland non-atheist 2012
## 40232 Poland non-atheist 2012
## 40233 Poland non-atheist 2012
## 40234 Poland non-atheist 2012
## 40235 Poland non-atheist 2012
## 40236 Poland non-atheist 2012
## 40237 Poland non-atheist 2012
## 40238 Poland non-atheist 2012
## 40239 Poland non-atheist 2012
## 40240 Poland non-atheist 2012
## 40241 Poland non-atheist 2012
## 40242 Poland non-atheist 2012
## 40243 Poland non-atheist 2012
## 40244 Poland non-atheist 2012
## 40245 Poland non-atheist 2012
## 40246 Poland non-atheist 2012
## 40247 Poland non-atheist 2012
## 40248 Poland non-atheist 2012
## 40249 Poland non-atheist 2012
## 40250 Poland non-atheist 2012
## 40251 Poland non-atheist 2012
## 40252 Poland non-atheist 2012
## 40253 Poland non-atheist 2012
## 40254 Poland non-atheist 2012
## 40255 Poland non-atheist 2012
## 40256 Poland non-atheist 2012
## 40257 Poland atheist 2012
## 40258 Poland non-atheist 2012
## 40259 Poland non-atheist 2012
## 40260 Poland non-atheist 2012
## 40261 Poland non-atheist 2012
## 40262 Poland non-atheist 2012
## 40263 Poland non-atheist 2012
## 40264 Poland non-atheist 2012
## 40265 Poland non-atheist 2012
## 40266 Poland non-atheist 2012
## 40267 Poland non-atheist 2012
## 40268 Poland non-atheist 2012
## 40269 Poland non-atheist 2012
## 40270 Poland non-atheist 2012
## 40271 Poland non-atheist 2012
## 40272 Poland non-atheist 2012
## 40273 Poland non-atheist 2012
## 40274 Poland non-atheist 2012
## 40275 Poland non-atheist 2012
## 40276 Poland non-atheist 2012
## 40277 Poland atheist 2012
## 40278 Poland non-atheist 2012
## 40279 Poland non-atheist 2012
## 40280 Poland non-atheist 2012
## 40281 Poland non-atheist 2012
## 40282 Poland non-atheist 2012
## 40283 Poland non-atheist 2012
## 40284 Poland non-atheist 2012
## 40285 Poland non-atheist 2012
## 40286 Poland atheist 2012
## 40287 Poland non-atheist 2012
## 40288 Poland non-atheist 2012
## 40289 Poland non-atheist 2012
## 40290 Poland non-atheist 2012
## 40291 Poland non-atheist 2012
## 40292 Poland non-atheist 2012
## 40293 Poland non-atheist 2012
## 40294 Poland non-atheist 2012
## 40295 Poland non-atheist 2012
## 40296 Poland non-atheist 2012
## 40297 Poland non-atheist 2012
## 40298 Poland non-atheist 2012
## 40299 Poland non-atheist 2012
## 40300 Poland non-atheist 2012
## 40301 Poland non-atheist 2012
## 40302 Poland non-atheist 2012
## 40303 Poland non-atheist 2012
## 40304 Poland non-atheist 2012
## 40305 Poland non-atheist 2012
## 40306 Poland non-atheist 2012
## 40307 Poland non-atheist 2012
## 40308 Poland non-atheist 2012
## 40309 Poland non-atheist 2012
## 40310 Poland non-atheist 2012
## 40311 Poland non-atheist 2012
## 40312 Poland non-atheist 2012
## 40313 Poland non-atheist 2012
## 40314 Poland non-atheist 2012
## 40315 Poland non-atheist 2012
## 40316 Poland non-atheist 2012
## 40317 Poland non-atheist 2012
## 40318 Poland non-atheist 2012
## 40319 Poland non-atheist 2012
## 40320 Poland non-atheist 2012
## 40321 Poland non-atheist 2012
## 40322 Poland non-atheist 2012
## 40323 Poland non-atheist 2012
## 40324 Poland non-atheist 2012
## 40325 Poland non-atheist 2012
## 40326 Poland non-atheist 2012
## 40327 Poland non-atheist 2012
## 40328 Poland non-atheist 2012
## 40329 Poland non-atheist 2012
## 40330 Poland non-atheist 2012
## 40331 Poland non-atheist 2012
## 40332 Poland non-atheist 2012
## 40333 Poland atheist 2012
## 40334 Poland atheist 2012
## 40335 Poland non-atheist 2012
## 40336 Poland non-atheist 2012
## 40337 Poland non-atheist 2012
## 40338 Poland non-atheist 2012
## 40339 Poland non-atheist 2012
## 40340 Poland non-atheist 2012
## 40341 Poland non-atheist 2012
## 40342 Poland non-atheist 2012
## 40343 Poland non-atheist 2012
## 40344 Poland non-atheist 2012
## 40345 Poland non-atheist 2012
## 40346 Poland non-atheist 2012
## 40347 Poland non-atheist 2012
## 40348 Poland non-atheist 2012
## 40349 Poland non-atheist 2012
## 40350 Poland non-atheist 2012
## 40351 Poland non-atheist 2012
## 40352 Poland non-atheist 2012
## 40353 Poland non-atheist 2012
## 40354 Poland non-atheist 2012
## 40355 Poland non-atheist 2012
## 40356 Poland non-atheist 2012
## 40357 Poland atheist 2012
## 40358 Poland non-atheist 2012
## 40359 Poland non-atheist 2012
## 40360 Poland non-atheist 2012
## 40361 Poland non-atheist 2012
## 40362 Poland non-atheist 2012
## 40363 Poland non-atheist 2012
## 40364 Poland atheist 2012
## 40365 Poland non-atheist 2012
## 40366 Poland non-atheist 2012
## 40367 Poland non-atheist 2012
## 40368 Poland non-atheist 2012
## 40369 Poland non-atheist 2012
## 40370 Poland non-atheist 2012
## 40371 Poland atheist 2012
## 40372 Poland non-atheist 2012
## 40373 Poland non-atheist 2012
## 40374 Poland non-atheist 2012
## 40375 Poland non-atheist 2012
## 40376 Poland non-atheist 2012
## 40377 Poland non-atheist 2012
## 40378 Poland non-atheist 2012
## 40379 Poland non-atheist 2012
## 40380 Poland non-atheist 2012
## 40381 Poland atheist 2012
## 40382 Poland non-atheist 2012
## 40383 Poland non-atheist 2012
## 40384 Poland non-atheist 2012
## 40385 Poland non-atheist 2012
## 40386 Poland non-atheist 2012
## 40387 Poland non-atheist 2012
## 40388 Poland non-atheist 2012
## 40389 Poland non-atheist 2012
## 40390 Poland non-atheist 2012
## 40391 Poland non-atheist 2012
## 40392 Poland non-atheist 2012
## 40393 Poland non-atheist 2012
## 40394 Poland non-atheist 2012
## 40395 Poland non-atheist 2012
## 40396 Poland non-atheist 2012
## 40397 Poland non-atheist 2012
## 40398 Poland non-atheist 2012
## 40399 Poland non-atheist 2012
## 40400 Poland non-atheist 2012
## 40401 Poland non-atheist 2012
## 40402 Poland non-atheist 2012
## 40403 Poland non-atheist 2012
## 40404 Poland non-atheist 2012
## 40405 Poland non-atheist 2012
## 40406 Poland non-atheist 2012
## 40407 Poland non-atheist 2012
## 40408 Poland non-atheist 2012
## 40409 Poland non-atheist 2012
## 40410 Poland non-atheist 2012
## 40411 Poland non-atheist 2012
## 40412 Poland non-atheist 2012
## 40413 Poland non-atheist 2012
## 40414 Poland non-atheist 2012
## 40415 Poland non-atheist 2012
## 40416 Poland non-atheist 2012
## 40417 Poland non-atheist 2012
## 40418 Poland non-atheist 2012
## 40419 Poland non-atheist 2012
## 40420 Poland non-atheist 2012
## 40421 Poland non-atheist 2012
## 40422 Poland non-atheist 2012
## 40423 Poland non-atheist 2012
## 40424 Poland non-atheist 2012
## 40425 Poland non-atheist 2012
## 40426 Poland non-atheist 2012
## 40427 Poland non-atheist 2012
## 40428 Poland non-atheist 2012
## 40429 Poland non-atheist 2012
## 40430 Poland non-atheist 2012
## 40431 Poland non-atheist 2012
## 40432 Poland non-atheist 2012
#calculate proportion of atheist responses
#get number of atheists in India
india_atheist <- nrow (india12[india12$response =="atheist",])
india_atheist## [1] 33
#calculate proportion of atheist responses
#get number of atheists in Poland
poland_atheist <- nrow (poland12[poland12$response =="atheist",])
poland_atheist## [1] 26
#calculate proportion of atheist responses_India
#get number of India rows
india_rows <- nrow(india12)
india_rows## [1] 1092
#calculate proportion of atheist responses_Poland
#get number of Poland rows
poland_rows <- nrow(poland12)
poland_rows## [1] 525
#calculate proportion of atheist responses
india_atheist/india_rows## [1] 0.03021978
#calculate proportion of atheist responses
poland_atheist/poland_rows## [1] 0.04952381
#calculate proportion of non_atheist responses
#get number of India non-atheists
india_non_atheist <- nrow (india12[india12$response =="non-atheist",])
india_non_atheist## [1] 1059
#calculate proportion of non_atheist responses
#get number of Poland non-atheists
poland_non_atheist <- nrow (poland12[poland12$response =="non-atheist",])
poland_non_atheist## [1] 499
#calculate proportion of non_atheist responses
india_non_atheist/india_rows## [1] 0.9697802
#calculate proportion of non_atheist responses
poland_non_atheist/poland_rows## [1] 0.9504762
#Success/fail condition satisfied: Is the calculation greater than 10?
india_rows*(india_atheist/india_rows)## [1] 33
#Success/fail condition satisfied: Is the calculation greater than 10?
india_rows*(india_non_atheist/india_rows)## [1] 1059
#Success/fail condition satisfied: Is the calculation greater than 10?
poland_rows*(poland_atheist/poland_rows)## [1] 26
#Success/fail condition satisfied: Is the calculation greater than 10?
poland_rows*(poland_non_atheist/poland_rows)## [1] 499
summary(india12)## nationality response year
## India :1092 atheist : 33 Min. :2012
## Afghanistan: 0 non-atheist:1059 1st Qu.:2012
## Argentina : 0 Median :2012
## Armenia : 0 Mean :2012
## Australia : 0 3rd Qu.:2012
## Austria : 0 Max. :2012
## (Other) : 0
summary(poland12)## nationality response year
## Poland :525 atheist : 26 Min. :2012
## Afghanistan: 0 non-atheist:499 1st Qu.:2012
## Argentina : 0 Median :2012
## Armenia : 0 Mean :2012
## Australia : 0 3rd Qu.:2012
## Austria : 0 Max. :2012
## (Other) : 0
#If the conditions for inference are reasonable, calculate the standard error and construct the interval using the inference function
#India
inference(india12$response, est = "proportion", type = "ci", method = "theoretical",
success = "atheist")## Single proportion -- success: atheist
## Summary statistics:
## p_hat = 0.0302 ; n = 1092
## Check conditions: number of successes = 33 ; number of failures = 1059
## Standard error = 0.0052
## 95 % Confidence interval = ( 0.0201 , 0.0404 )
Single proportion – success: atheist Summary statistics: p_hat = 0.0302 ; n = 1092 Check conditions: number of successes = 33 ; number of failures = 1059 Standard error = 0.0052 95 % Confidence interval = ( 0.0201 , 0.0404 )
#find margin of error for India
lower_boundary <- 0.0201
upper_boundary <- 0.0404
diff <- upper_boundary-lower_boundary
moE <- diff/2
moE## [1] 0.01015
#If the conditions for inference are reasonable, calculate the standard error and construct the interval using the inference function
#Poland
inference(poland12$response, est = "proportion", type = "ci", method = "theoretical",
success = "atheist")## Single proportion -- success: atheist
## Summary statistics:
## p_hat = 0.0495 ; n = 525
## Check conditions: number of successes = 26 ; number of failures = 499
## Standard error = 0.0095
## 95 % Confidence interval = ( 0.031 , 0.0681 )
Single proportion – success: atheist Summary statistics: p_hat = 0.0495 ; n = 525 Check conditions: number of successes = 26 ; number of failures = 499 Standard error = 0.0095 95 % Confidence interval = ( 0.031 , 0.0681 )
#find margin of error for Poland
lower_boundary <- 0.031
upper_boundary <- 0.0681
diff <- upper_boundary-lower_boundary
moE <- diff/2
moE## [1] 0.01855
How does the proportion affect the margin of error? Imagine you’ve set out to survey 1000 people on two questions: are you female? and are you left-handed? Since both of these sample proportions were calculated from the same sample size, they should have the same margin of error, right? Wrong! While the margin of error does change with sample size, it is also affected by the proportion.
Think back to the formula for the standard error: SE=p(1−p)/n−−−−−−−−−√. This is then used in the formula for the margin of error for a 95% confidence interval: ME=1.96×SE=1.96×p(1−p)/n−−−−−−−−−√. Since the population proportion p is in this ME formula, it should make sense that the margin of error is in some way dependent on the population proportion. We can visualize this relationship by creating a plot of ME vs. p.
The first step is to make a vector p that is a sequence from 0 to 1 with each number separated by 0.01. We can then create a vector of the margin of error (me) associated with each of these values of p using the familiar approximate formula (ME=2×SE). Lastly, we plot the two vectors against each other to reveal their relationship.
n <- 1000
p <- seq(0, 1, 0.01)
me <- 2 * sqrt(p * (1 - p)/n)
plot(me ~ p, ylab = "Margin of Error", xlab = "Population Proportion")Describe the relationship between p and me.
Answer As Population Proportion, p, increases from 0.0 to approximately 0.5, Margin of Error, me, increases to a maximum of approximately 0.03. As p continues increasing from .5 to 1.0, p decreases from .03 to 0.
#inserting space hereSuccess-failure condition The textbook emphasizes that you must always check conditions before making inference. For inference on proportions, the sample proportion can be assumed to be nearly normal if it is based upon a random sample of independent observations and if both np≥10 and n(1−p)≥10. This rule of thumb is easy enough to follow, but it makes one wonder: what’s so special about the number 10?
The short answer is: nothing. You could argue that we would be fine with 9 or that we really should be using 11. What is the “best” value for such a rule of thumb is, at least to some degree, arbitrary. However, when np and n(1−p) reaches 10 the sampling distribution is sufficiently normal to use confidence intervals and hypothesis tests that are based on that approximation.
We can investigate the interplay between n and p and the shape of the sampling distribution by using simulations. To start off, we simulate the process of drawing 5000 samples of size 1040 from a population with a true atheist proportion of 0.1. For each of the 5000 samples we compute p^ and then plot a histogram to visualize their distribution.
#interplay between n ad p
#5,000 samples of size 1040 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.1
n <- 1040
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.1, n = 1040", xlim = c(0, 0.18))Describe the sampling distribution of sample proportions at n=1040 and p=0.1. Be sure to note the center, spread, and shape. Hint: Remember that R has functions such as mean to calculate summary statistics. https://statsandr.com/blog/descriptive-statistics-in-r/#boxplot
Answer Summary Statistics Min. 1st Qu. Median Mean 3rd Qu. Max. 0.06923 0.09327 0.10000 0.09991 0.10577 0.13558
Mean Error 0.01860521
Center: The sample distribution of the sample proportions’, p_hats, center-point is at approximately 0.10. This is the same as the population proportion value of p=0.1.
Shape: The distribution has a single, clear peak with values increasing up to that point and then decreasing. This indicates a unimodal, normal distribution.
Spread Calculations: Variance var(p_hats) 8.545609e-05 Standard Deviation sd(p_hats) 0.009244247 IQR IQR(p_hats) 0.0125 Minimum min(p_hats) 0.06923077 Maximum max(p_hats) 0.1355769 Range range(p_hats) 0.06923077 0.13557692
summary(p_hats)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.07019 0.09327 0.09904 0.09969 0.10577 0.12981
sd(p_hats)## [1] 0.009287382
var(p_hats)## [1] 8.625547e-05
IQR(p_hats)## [1] 0.0125
min(p_hats)## [1] 0.07019231
max(p_hats)## [1] 0.1298077
range(p_hats)## [1] 0.07019231 0.12980769
#Mean Error
p <- 0.1
n <- 1040
me <- 2* sqrt(p*(1-p)/n)
me## [1] 0.01860521
Repeat the above simulation three more times but with modified sample sizes and proportions: for n=400 and p=0.1, n=1040 and p=0.02, and n=400 and p=0.02. Plot all four histograms together by running the par(mfrow = c(2, 2)) command before creating the histograms. You may need to expand the plot window to accommodate the larger two-by-two plot. Describe the three new sampling distributions. Based on these limited plots, how does n appear to affect the distribution of p^? How does p affect the sampling distribution?
Answer
As the sample size, n, increases from 400 to 1040, the spread becomes smaller and the margin of error becomes smaller. Changing n changes the distribution. As p changes, the location of the curve centers around the value of the population. When p is .1, the location of the curve is centered around the population value of .1. The same applies to .02. So, as p increases, the spread decreases and the margin of error increases until p reaches a certain point (population proportion = .5), and then the margin of error decreases (as the parabola shows in Exercise 7 above).
par(mfrow=c(2,2))
#interplay between n ad p
#5,000 samples of size 1040 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.1
n <- 1040
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.1, n = 1040", xlim = c(0, 0.18))
#2interplay between n ad p
#5,000 samples of size 400 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.1
n <- 400
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.1, n = 400", xlim = c(0, 0.18))
#3interplay between n ad p
#5,000 samples of size 1040 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.02
n <- 1040
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.02, n = 1040", xlim = c(0, 0.18))
#4interplay between n ad p
#5,000 samples of size 400 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.02
n <- 400
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.02, n = 400", xlim = c(0, 0.18))#reset plot window
par(mfrow = c(1, 1))If you refer to Table 6, you’ll find that Australia has a sample proportion of 0.1 on a sample size of 1040, and that Ecuador has a sample proportion of 0.02 on 400 subjects. Let’s suppose for this exercise that these point estimates are actually the truth. Then given the shape of their respective sampling distributions, do you think it is sensible to proceed with inference and report margin of errors, as the reports does?
Answer No, it does not make sense to proceed with inference and report margin of errors as the report does. After doing the inference tests, I found Ecuador did not meet the Success/Fail condition for Atheist. There were only 8 expected successes rather than 10 or more, so the inference test wasn’t met. Also, according to the margin of error plots shown via the code below, as the population increases above 200, there is little change in the margin of error. The curve flattens out and stays flat. The report indicates an error margin of 3-5% in the report as follows:
A total of 51,927 persons were interviewed globally. In each country a national probability sample of around 1000 men and women was interviewed either face to face (35 countries; n=33,890), via telephone (11 countries; n=7,661) or online (11 countries; n=10,376). Details are attached. The field work was conducted during November 2011- January 2012. In general the WIN-Gallup International GLOBAL INDEX OF RELIGIOSITY AND ATHEISM - 2012 Page 8 of 25 error margin for surveys of this kind is +3-5% at 95% confidence level.
When looking at the plot of the error margins and comparing them to the calculated numbers, they are more around .01 - .02, so this is close. Please see all analysis below.
Analysis:
Are the observations independent? Yes If the random (picked radomly across the two countries) sample sizes are less than 10% of the populations of Australia and Ecuador, the observations are independent - and this condition necessary for inference is satisfied as observations must be independent. It appears the observations are independent, so this condition is met.
Compare the margin of errors: Australia = 0.01860521 or approximately .02 Ecuador = 0.014 or approximately .01
Margin of errors are similar; distribution and spreads are similar
Summary Statistics - Australia Min. 1st Qu. Median Mean 3rd Qu. Max. 0.00250 0.01500 0.02000 0.01997 0.02500 0.05000
Summary Statistics - Ecuador Min. 1st Qu. Median Mean 3rd Qu. Max. 0.00000 0.01500 0.02000 0.02007 0.02500 0.05250
Mean Error - Australia: 0.01860521 Mean Error - Ecuador: 0.014
Center - Australia: The sample distribution of the sample proportions’, p_hats, center-point is at approximately 0.10. This is the same as the population proportion value of p=0.1. Center - Ecuador: The sample distribution of the sample proportions, p_hatse, center-point is at approximately 0.02. This is the same as the population proportion value of p=0.02.
Shape - Australia: The distribution has a single, clear peak with values increasing up to that point and then decreasing. This indicates a unimodal, normal distribution. Shape - Ecuador: The distribution has a single, clear peak with values increasing up to that point and then decreasing. This indicates a unimodal, normal distribution.
Spread Calculations: Australia Variance var(p_hats) = 8.856288e-05 Standard Deviation sd(p_hats) = 0.009410785
IQR IQR(p_hats) = 0.0125
Spread Calculations: Ecquador Variance var(p_hatse) = 4.982679e-05 Standard Deviation sd(p_hatse) = 0.00705881 IQR IQR(p_hatse) = 0.01
Ecuador Calc 1 - Atheist: Population of 404 * 0.01980198 = 8 Calc 2 - non-Atheist: Population of 404 * 0.980198 = 396 Both calculations are not greater than 10. The success/fail condition is not met for Ecuador because there are only 8 expected successes as “atheist” is considered “success” in this study.
#Margin of Error (Australia and Ecuador)
#Australia
p <- 0.1
n <- 1040
me <- 2 * sqrt(p*(1-p)/n)
me## [1] 0.01860521
#Margin of Error (Australia and Ecuador)
#Ecuador
p <- 0.02
n <- 400
me <- 2 * sqrt(p*(1-p)/n)
me## [1] 0.014
#Create data sets for Australia and Ecuador
#Australia
australia12 <- subset(atheism, nationality == "Australia" & year == "2012")
australia12## nationality response year
## 2518 Australia non-atheist 2012
## 2519 Australia non-atheist 2012
## 2520 Australia non-atheist 2012
## 2521 Australia non-atheist 2012
## 2522 Australia non-atheist 2012
## 2523 Australia non-atheist 2012
## 2524 Australia non-atheist 2012
## 2525 Australia non-atheist 2012
## 2526 Australia non-atheist 2012
## 2527 Australia non-atheist 2012
## 2528 Australia non-atheist 2012
## 2529 Australia non-atheist 2012
## 2530 Australia non-atheist 2012
## 2531 Australia atheist 2012
## 2532 Australia non-atheist 2012
## 2533 Australia non-atheist 2012
## 2534 Australia non-atheist 2012
## 2535 Australia atheist 2012
## 2536 Australia non-atheist 2012
## 2537 Australia atheist 2012
## 2538 Australia non-atheist 2012
## 2539 Australia atheist 2012
## 2540 Australia non-atheist 2012
## 2541 Australia non-atheist 2012
## 2542 Australia non-atheist 2012
## 2543 Australia non-atheist 2012
## 2544 Australia non-atheist 2012
## 2545 Australia non-atheist 2012
## 2546 Australia non-atheist 2012
## 2547 Australia non-atheist 2012
## 2548 Australia non-atheist 2012
## 2549 Australia non-atheist 2012
## 2550 Australia non-atheist 2012
## 2551 Australia non-atheist 2012
## 2552 Australia atheist 2012
## 2553 Australia non-atheist 2012
## 2554 Australia non-atheist 2012
## 2555 Australia atheist 2012
## 2556 Australia non-atheist 2012
## 2557 Australia non-atheist 2012
## 2558 Australia non-atheist 2012
## 2559 Australia non-atheist 2012
## 2560 Australia non-atheist 2012
## 2561 Australia non-atheist 2012
## 2562 Australia non-atheist 2012
## 2563 Australia non-atheist 2012
## 2564 Australia non-atheist 2012
## 2565 Australia non-atheist 2012
## 2566 Australia atheist 2012
## 2567 Australia non-atheist 2012
## 2568 Australia non-atheist 2012
## 2569 Australia non-atheist 2012
## 2570 Australia non-atheist 2012
## 2571 Australia non-atheist 2012
## 2572 Australia non-atheist 2012
## 2573 Australia non-atheist 2012
## 2574 Australia non-atheist 2012
## 2575 Australia non-atheist 2012
## 2576 Australia atheist 2012
## 2577 Australia non-atheist 2012
## 2578 Australia non-atheist 2012
## 2579 Australia non-atheist 2012
## 2580 Australia atheist 2012
## 2581 Australia non-atheist 2012
## 2582 Australia non-atheist 2012
## 2583 Australia non-atheist 2012
## 2584 Australia non-atheist 2012
## 2585 Australia non-atheist 2012
## 2586 Australia non-atheist 2012
## 2587 Australia atheist 2012
## 2588 Australia non-atheist 2012
## 2589 Australia non-atheist 2012
## 2590 Australia non-atheist 2012
## 2591 Australia non-atheist 2012
## 2592 Australia non-atheist 2012
## 2593 Australia non-atheist 2012
## 2594 Australia non-atheist 2012
## 2595 Australia non-atheist 2012
## 2596 Australia non-atheist 2012
## 2597 Australia atheist 2012
## 2598 Australia non-atheist 2012
## 2599 Australia non-atheist 2012
## 2600 Australia non-atheist 2012
## 2601 Australia non-atheist 2012
## 2602 Australia non-atheist 2012
## 2603 Australia non-atheist 2012
## 2604 Australia non-atheist 2012
## 2605 Australia non-atheist 2012
## 2606 Australia non-atheist 2012
## 2607 Australia non-atheist 2012
## 2608 Australia non-atheist 2012
## 2609 Australia non-atheist 2012
## 2610 Australia non-atheist 2012
## 2611 Australia non-atheist 2012
## 2612 Australia non-atheist 2012
## 2613 Australia non-atheist 2012
## 2614 Australia non-atheist 2012
## 2615 Australia non-atheist 2012
## 2616 Australia non-atheist 2012
## 2617 Australia non-atheist 2012
## 2618 Australia non-atheist 2012
## 2619 Australia non-atheist 2012
## 2620 Australia non-atheist 2012
## 2621 Australia non-atheist 2012
## 2622 Australia non-atheist 2012
## 2623 Australia non-atheist 2012
## 2624 Australia non-atheist 2012
## 2625 Australia non-atheist 2012
## 2626 Australia non-atheist 2012
## 2627 Australia non-atheist 2012
## 2628 Australia non-atheist 2012
## 2629 Australia non-atheist 2012
## 2630 Australia non-atheist 2012
## 2631 Australia non-atheist 2012
## 2632 Australia non-atheist 2012
## 2633 Australia non-atheist 2012
## 2634 Australia non-atheist 2012
## 2635 Australia non-atheist 2012
## 2636 Australia non-atheist 2012
## 2637 Australia non-atheist 2012
## 2638 Australia non-atheist 2012
## 2639 Australia non-atheist 2012
## 2640 Australia non-atheist 2012
## 2641 Australia atheist 2012
## 2642 Australia non-atheist 2012
## 2643 Australia non-atheist 2012
## 2644 Australia non-atheist 2012
## 2645 Australia non-atheist 2012
## 2646 Australia non-atheist 2012
## 2647 Australia atheist 2012
## 2648 Australia non-atheist 2012
## 2649 Australia non-atheist 2012
## 2650 Australia non-atheist 2012
## 2651 Australia non-atheist 2012
## 2652 Australia non-atheist 2012
## 2653 Australia non-atheist 2012
## 2654 Australia non-atheist 2012
## 2655 Australia non-atheist 2012
## 2656 Australia non-atheist 2012
## 2657 Australia non-atheist 2012
## 2658 Australia non-atheist 2012
## 2659 Australia non-atheist 2012
## 2660 Australia non-atheist 2012
## 2661 Australia non-atheist 2012
## 2662 Australia non-atheist 2012
## 2663 Australia non-atheist 2012
## 2664 Australia non-atheist 2012
## 2665 Australia non-atheist 2012
## 2666 Australia non-atheist 2012
## 2667 Australia non-atheist 2012
## 2668 Australia non-atheist 2012
## 2669 Australia non-atheist 2012
## 2670 Australia non-atheist 2012
## 2671 Australia non-atheist 2012
## 2672 Australia non-atheist 2012
## 2673 Australia non-atheist 2012
## 2674 Australia non-atheist 2012
## 2675 Australia non-atheist 2012
## 2676 Australia non-atheist 2012
## 2677 Australia non-atheist 2012
## 2678 Australia non-atheist 2012
## 2679 Australia non-atheist 2012
## 2680 Australia non-atheist 2012
## 2681 Australia non-atheist 2012
## 2682 Australia non-atheist 2012
## 2683 Australia non-atheist 2012
## 2684 Australia non-atheist 2012
## 2685 Australia atheist 2012
## 2686 Australia non-atheist 2012
## 2687 Australia atheist 2012
## 2688 Australia non-atheist 2012
## 2689 Australia non-atheist 2012
## 2690 Australia non-atheist 2012
## 2691 Australia non-atheist 2012
## 2692 Australia non-atheist 2012
## 2693 Australia non-atheist 2012
## 2694 Australia non-atheist 2012
## 2695 Australia atheist 2012
## 2696 Australia non-atheist 2012
## 2697 Australia non-atheist 2012
## 2698 Australia atheist 2012
## 2699 Australia non-atheist 2012
## 2700 Australia non-atheist 2012
## 2701 Australia non-atheist 2012
## 2702 Australia non-atheist 2012
## 2703 Australia non-atheist 2012
## 2704 Australia non-atheist 2012
## 2705 Australia non-atheist 2012
## 2706 Australia non-atheist 2012
## 2707 Australia non-atheist 2012
## 2708 Australia non-atheist 2012
## 2709 Australia non-atheist 2012
## 2710 Australia non-atheist 2012
## 2711 Australia non-atheist 2012
## 2712 Australia non-atheist 2012
## 2713 Australia atheist 2012
## 2714 Australia atheist 2012
## 2715 Australia non-atheist 2012
## 2716 Australia non-atheist 2012
## 2717 Australia non-atheist 2012
## 2718 Australia non-atheist 2012
## 2719 Australia non-atheist 2012
## 2720 Australia non-atheist 2012
## 2721 Australia non-atheist 2012
## 2722 Australia atheist 2012
## 2723 Australia non-atheist 2012
## 2724 Australia non-atheist 2012
## 2725 Australia non-atheist 2012
## 2726 Australia non-atheist 2012
## 2727 Australia non-atheist 2012
## 2728 Australia non-atheist 2012
## 2729 Australia non-atheist 2012
## 2730 Australia non-atheist 2012
## 2731 Australia non-atheist 2012
## 2732 Australia non-atheist 2012
## 2733 Australia non-atheist 2012
## 2734 Australia non-atheist 2012
## 2735 Australia non-atheist 2012
## 2736 Australia non-atheist 2012
## 2737 Australia non-atheist 2012
## 2738 Australia non-atheist 2012
## 2739 Australia non-atheist 2012
## 2740 Australia non-atheist 2012
## 2741 Australia non-atheist 2012
## 2742 Australia non-atheist 2012
## 2743 Australia non-atheist 2012
## 2744 Australia non-atheist 2012
## 2745 Australia non-atheist 2012
## 2746 Australia non-atheist 2012
## 2747 Australia non-atheist 2012
## 2748 Australia non-atheist 2012
## 2749 Australia non-atheist 2012
## 2750 Australia non-atheist 2012
## 2751 Australia non-atheist 2012
## 2752 Australia non-atheist 2012
## 2753 Australia non-atheist 2012
## 2754 Australia non-atheist 2012
## 2755 Australia non-atheist 2012
## 2756 Australia non-atheist 2012
## 2757 Australia non-atheist 2012
## 2758 Australia non-atheist 2012
## 2759 Australia non-atheist 2012
## 2760 Australia non-atheist 2012
## 2761 Australia non-atheist 2012
## 2762 Australia atheist 2012
## 2763 Australia non-atheist 2012
## 2764 Australia non-atheist 2012
## 2765 Australia non-atheist 2012
## 2766 Australia non-atheist 2012
## 2767 Australia non-atheist 2012
## 2768 Australia non-atheist 2012
## 2769 Australia non-atheist 2012
## 2770 Australia non-atheist 2012
## 2771 Australia non-atheist 2012
## 2772 Australia non-atheist 2012
## 2773 Australia non-atheist 2012
## 2774 Australia atheist 2012
## 2775 Australia non-atheist 2012
## 2776 Australia atheist 2012
## 2777 Australia non-atheist 2012
## 2778 Australia non-atheist 2012
## 2779 Australia non-atheist 2012
## 2780 Australia non-atheist 2012
## 2781 Australia non-atheist 2012
## 2782 Australia non-atheist 2012
## 2783 Australia non-atheist 2012
## 2784 Australia non-atheist 2012
## 2785 Australia non-atheist 2012
## 2786 Australia non-atheist 2012
## 2787 Australia non-atheist 2012
## 2788 Australia non-atheist 2012
## 2789 Australia non-atheist 2012
## 2790 Australia atheist 2012
## 2791 Australia atheist 2012
## 2792 Australia non-atheist 2012
## 2793 Australia non-atheist 2012
## 2794 Australia non-atheist 2012
## 2795 Australia non-atheist 2012
## 2796 Australia atheist 2012
## 2797 Australia non-atheist 2012
## 2798 Australia non-atheist 2012
## 2799 Australia non-atheist 2012
## 2800 Australia non-atheist 2012
## 2801 Australia non-atheist 2012
## 2802 Australia non-atheist 2012
## 2803 Australia non-atheist 2012
## 2804 Australia non-atheist 2012
## 2805 Australia non-atheist 2012
## 2806 Australia non-atheist 2012
## 2807 Australia non-atheist 2012
## 2808 Australia non-atheist 2012
## 2809 Australia non-atheist 2012
## 2810 Australia non-atheist 2012
## 2811 Australia non-atheist 2012
## 2812 Australia non-atheist 2012
## 2813 Australia non-atheist 2012
## 2814 Australia non-atheist 2012
## 2815 Australia non-atheist 2012
## 2816 Australia non-atheist 2012
## 2817 Australia non-atheist 2012
## 2818 Australia atheist 2012
## 2819 Australia non-atheist 2012
## 2820 Australia non-atheist 2012
## 2821 Australia non-atheist 2012
## 2822 Australia atheist 2012
## 2823 Australia atheist 2012
## 2824 Australia non-atheist 2012
## 2825 Australia non-atheist 2012
## 2826 Australia non-atheist 2012
## 2827 Australia non-atheist 2012
## 2828 Australia non-atheist 2012
## 2829 Australia atheist 2012
## 2830 Australia non-atheist 2012
## 2831 Australia non-atheist 2012
## 2832 Australia non-atheist 2012
## 2833 Australia non-atheist 2012
## 2834 Australia non-atheist 2012
## 2835 Australia non-atheist 2012
## 2836 Australia non-atheist 2012
## 2837 Australia non-atheist 2012
## 2838 Australia non-atheist 2012
## 2839 Australia non-atheist 2012
## 2840 Australia non-atheist 2012
## 2841 Australia non-atheist 2012
## 2842 Australia non-atheist 2012
## 2843 Australia non-atheist 2012
## 2844 Australia non-atheist 2012
## 2845 Australia non-atheist 2012
## 2846 Australia non-atheist 2012
## 2847 Australia non-atheist 2012
## 2848 Australia non-atheist 2012
## 2849 Australia non-atheist 2012
## 2850 Australia non-atheist 2012
## 2851 Australia non-atheist 2012
## 2852 Australia non-atheist 2012
## 2853 Australia non-atheist 2012
## 2854 Australia non-atheist 2012
## 2855 Australia atheist 2012
## 2856 Australia atheist 2012
## 2857 Australia non-atheist 2012
## 2858 Australia non-atheist 2012
## 2859 Australia non-atheist 2012
## 2860 Australia non-atheist 2012
## 2861 Australia non-atheist 2012
## 2862 Australia non-atheist 2012
## 2863 Australia non-atheist 2012
## 2864 Australia non-atheist 2012
## 2865 Australia non-atheist 2012
## 2866 Australia non-atheist 2012
## 2867 Australia non-atheist 2012
## 2868 Australia atheist 2012
## 2869 Australia non-atheist 2012
## 2870 Australia atheist 2012
## 2871 Australia non-atheist 2012
## 2872 Australia non-atheist 2012
## 2873 Australia non-atheist 2012
## 2874 Australia non-atheist 2012
## 2875 Australia non-atheist 2012
## 2876 Australia non-atheist 2012
## 2877 Australia non-atheist 2012
## 2878 Australia atheist 2012
## 2879 Australia non-atheist 2012
## 2880 Australia non-atheist 2012
## 2881 Australia non-atheist 2012
## 2882 Australia non-atheist 2012
## 2883 Australia non-atheist 2012
## 2884 Australia non-atheist 2012
## 2885 Australia non-atheist 2012
## 2886 Australia non-atheist 2012
## 2887 Australia non-atheist 2012
## 2888 Australia non-atheist 2012
## 2889 Australia non-atheist 2012
## 2890 Australia non-atheist 2012
## 2891 Australia non-atheist 2012
## 2892 Australia non-atheist 2012
## 2893 Australia non-atheist 2012
## 2894 Australia non-atheist 2012
## 2895 Australia non-atheist 2012
## 2896 Australia non-atheist 2012
## 2897 Australia non-atheist 2012
## 2898 Australia non-atheist 2012
## 2899 Australia atheist 2012
## 2900 Australia non-atheist 2012
## 2901 Australia non-atheist 2012
## 2902 Australia non-atheist 2012
## 2903 Australia non-atheist 2012
## 2904 Australia non-atheist 2012
## 2905 Australia non-atheist 2012
## 2906 Australia non-atheist 2012
## 2907 Australia atheist 2012
## 2908 Australia non-atheist 2012
## 2909 Australia non-atheist 2012
## 2910 Australia non-atheist 2012
## 2911 Australia non-atheist 2012
## 2912 Australia non-atheist 2012
## 2913 Australia non-atheist 2012
## 2914 Australia non-atheist 2012
## 2915 Australia non-atheist 2012
## 2916 Australia non-atheist 2012
## 2917 Australia non-atheist 2012
## 2918 Australia non-atheist 2012
## 2919 Australia non-atheist 2012
## 2920 Australia non-atheist 2012
## 2921 Australia non-atheist 2012
## 2922 Australia non-atheist 2012
## 2923 Australia non-atheist 2012
## 2924 Australia non-atheist 2012
## 2925 Australia atheist 2012
## 2926 Australia non-atheist 2012
## 2927 Australia atheist 2012
## 2928 Australia non-atheist 2012
## 2929 Australia atheist 2012
## 2930 Australia non-atheist 2012
## 2931 Australia non-atheist 2012
## 2932 Australia atheist 2012
## 2933 Australia non-atheist 2012
## 2934 Australia non-atheist 2012
## 2935 Australia atheist 2012
## 2936 Australia non-atheist 2012
## 2937 Australia non-atheist 2012
## 2938 Australia non-atheist 2012
## 2939 Australia atheist 2012
## 2940 Australia non-atheist 2012
## 2941 Australia non-atheist 2012
## 2942 Australia non-atheist 2012
## 2943 Australia non-atheist 2012
## 2944 Australia non-atheist 2012
## 2945 Australia non-atheist 2012
## 2946 Australia non-atheist 2012
## 2947 Australia non-atheist 2012
## 2948 Australia non-atheist 2012
## 2949 Australia non-atheist 2012
## 2950 Australia non-atheist 2012
## 2951 Australia non-atheist 2012
## 2952 Australia non-atheist 2012
## 2953 Australia atheist 2012
## 2954 Australia non-atheist 2012
## 2955 Australia non-atheist 2012
## 2956 Australia atheist 2012
## 2957 Australia atheist 2012
## 2958 Australia non-atheist 2012
## 2959 Australia non-atheist 2012
## 2960 Australia non-atheist 2012
## 2961 Australia non-atheist 2012
## 2962 Australia non-atheist 2012
## 2963 Australia non-atheist 2012
## 2964 Australia non-atheist 2012
## 2965 Australia non-atheist 2012
## 2966 Australia non-atheist 2012
## 2967 Australia non-atheist 2012
## 2968 Australia non-atheist 2012
## 2969 Australia atheist 2012
## 2970 Australia non-atheist 2012
## 2971 Australia non-atheist 2012
## 2972 Australia non-atheist 2012
## 2973 Australia atheist 2012
## 2974 Australia atheist 2012
## 2975 Australia non-atheist 2012
## 2976 Australia non-atheist 2012
## 2977 Australia non-atheist 2012
## 2978 Australia non-atheist 2012
## 2979 Australia non-atheist 2012
## 2980 Australia non-atheist 2012
## 2981 Australia non-atheist 2012
## 2982 Australia atheist 2012
## 2983 Australia non-atheist 2012
## 2984 Australia non-atheist 2012
## 2985 Australia non-atheist 2012
## 2986 Australia non-atheist 2012
## 2987 Australia non-atheist 2012
## 2988 Australia non-atheist 2012
## 2989 Australia non-atheist 2012
## 2990 Australia non-atheist 2012
## 2991 Australia non-atheist 2012
## 2992 Australia atheist 2012
## 2993 Australia non-atheist 2012
## 2994 Australia non-atheist 2012
## 2995 Australia atheist 2012
## 2996 Australia non-atheist 2012
## 2997 Australia non-atheist 2012
## 2998 Australia non-atheist 2012
## 2999 Australia non-atheist 2012
## 3000 Australia non-atheist 2012
## 3001 Australia non-atheist 2012
## 3002 Australia atheist 2012
## 3003 Australia non-atheist 2012
## 3004 Australia non-atheist 2012
## 3005 Australia non-atheist 2012
## 3006 Australia non-atheist 2012
## 3007 Australia non-atheist 2012
## 3008 Australia non-atheist 2012
## 3009 Australia non-atheist 2012
## 3010 Australia non-atheist 2012
## 3011 Australia non-atheist 2012
## 3012 Australia non-atheist 2012
## 3013 Australia non-atheist 2012
## 3014 Australia non-atheist 2012
## 3015 Australia non-atheist 2012
## 3016 Australia non-atheist 2012
## 3017 Australia non-atheist 2012
## 3018 Australia non-atheist 2012
## 3019 Australia non-atheist 2012
## 3020 Australia atheist 2012
## 3021 Australia atheist 2012
## 3022 Australia non-atheist 2012
## 3023 Australia non-atheist 2012
## 3024 Australia non-atheist 2012
## 3025 Australia non-atheist 2012
## 3026 Australia non-atheist 2012
## 3027 Australia non-atheist 2012
## 3028 Australia atheist 2012
## 3029 Australia non-atheist 2012
## 3030 Australia atheist 2012
## 3031 Australia non-atheist 2012
## 3032 Australia non-atheist 2012
## 3033 Australia non-atheist 2012
## 3034 Australia non-atheist 2012
## 3035 Australia non-atheist 2012
## 3036 Australia atheist 2012
## 3037 Australia non-atheist 2012
## 3038 Australia non-atheist 2012
## 3039 Australia non-atheist 2012
## 3040 Australia non-atheist 2012
## 3041 Australia non-atheist 2012
## 3042 Australia non-atheist 2012
## 3043 Australia non-atheist 2012
## 3044 Australia non-atheist 2012
## 3045 Australia non-atheist 2012
## 3046 Australia non-atheist 2012
## 3047 Australia non-atheist 2012
## 3048 Australia non-atheist 2012
## 3049 Australia non-atheist 2012
## 3050 Australia non-atheist 2012
## 3051 Australia non-atheist 2012
## 3052 Australia non-atheist 2012
## 3053 Australia non-atheist 2012
## 3054 Australia non-atheist 2012
## 3055 Australia non-atheist 2012
## 3056 Australia non-atheist 2012
## 3057 Australia atheist 2012
## 3058 Australia non-atheist 2012
## 3059 Australia non-atheist 2012
## 3060 Australia non-atheist 2012
## 3061 Australia non-atheist 2012
## 3062 Australia non-atheist 2012
## 3063 Australia non-atheist 2012
## 3064 Australia non-atheist 2012
## 3065 Australia non-atheist 2012
## 3066 Australia non-atheist 2012
## 3067 Australia non-atheist 2012
## 3068 Australia non-atheist 2012
## 3069 Australia non-atheist 2012
## 3070 Australia non-atheist 2012
## 3071 Australia non-atheist 2012
## 3072 Australia non-atheist 2012
## 3073 Australia non-atheist 2012
## 3074 Australia non-atheist 2012
## 3075 Australia non-atheist 2012
## 3076 Australia non-atheist 2012
## 3077 Australia non-atheist 2012
## 3078 Australia atheist 2012
## 3079 Australia non-atheist 2012
## 3080 Australia non-atheist 2012
## 3081 Australia non-atheist 2012
## 3082 Australia non-atheist 2012
## 3083 Australia non-atheist 2012
## 3084 Australia atheist 2012
## 3085 Australia non-atheist 2012
## 3086 Australia non-atheist 2012
## 3087 Australia non-atheist 2012
## 3088 Australia non-atheist 2012
## 3089 Australia non-atheist 2012
## 3090 Australia non-atheist 2012
## 3091 Australia atheist 2012
## 3092 Australia non-atheist 2012
## 3093 Australia non-atheist 2012
## 3094 Australia non-atheist 2012
## 3095 Australia non-atheist 2012
## 3096 Australia non-atheist 2012
## 3097 Australia non-atheist 2012
## 3098 Australia non-atheist 2012
## 3099 Australia non-atheist 2012
## 3100 Australia non-atheist 2012
## 3101 Australia non-atheist 2012
## 3102 Australia non-atheist 2012
## 3103 Australia atheist 2012
## 3104 Australia non-atheist 2012
## 3105 Australia non-atheist 2012
## 3106 Australia non-atheist 2012
## 3107 Australia non-atheist 2012
## 3108 Australia non-atheist 2012
## 3109 Australia non-atheist 2012
## 3110 Australia non-atheist 2012
## 3111 Australia non-atheist 2012
## 3112 Australia non-atheist 2012
## 3113 Australia non-atheist 2012
## 3114 Australia non-atheist 2012
## 3115 Australia non-atheist 2012
## 3116 Australia non-atheist 2012
## 3117 Australia non-atheist 2012
## 3118 Australia non-atheist 2012
## 3119 Australia non-atheist 2012
## 3120 Australia non-atheist 2012
## 3121 Australia non-atheist 2012
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## 3123 Australia non-atheist 2012
## 3124 Australia non-atheist 2012
## 3125 Australia non-atheist 2012
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## 3134 Australia non-atheist 2012
## 3135 Australia non-atheist 2012
## 3136 Australia non-atheist 2012
## 3137 Australia non-atheist 2012
## 3138 Australia non-atheist 2012
## 3139 Australia non-atheist 2012
## 3140 Australia non-atheist 2012
## 3141 Australia non-atheist 2012
## 3142 Australia non-atheist 2012
## 3143 Australia non-atheist 2012
## 3144 Australia non-atheist 2012
## 3145 Australia non-atheist 2012
## 3146 Australia non-atheist 2012
## 3147 Australia non-atheist 2012
## 3148 Australia non-atheist 2012
## 3149 Australia non-atheist 2012
## 3150 Australia non-atheist 2012
## 3151 Australia non-atheist 2012
## 3152 Australia non-atheist 2012
## 3153 Australia non-atheist 2012
## 3154 Australia non-atheist 2012
## 3155 Australia non-atheist 2012
## 3156 Australia non-atheist 2012
## 3157 Australia non-atheist 2012
## 3158 Australia non-atheist 2012
## 3159 Australia non-atheist 2012
## 3160 Australia non-atheist 2012
## 3161 Australia non-atheist 2012
## 3162 Australia non-atheist 2012
## 3163 Australia non-atheist 2012
## 3164 Australia non-atheist 2012
## 3165 Australia non-atheist 2012
## 3166 Australia non-atheist 2012
## 3167 Australia non-atheist 2012
## 3168 Australia non-atheist 2012
## 3169 Australia non-atheist 2012
## 3170 Australia non-atheist 2012
## 3171 Australia non-atheist 2012
## 3172 Australia non-atheist 2012
## 3173 Australia non-atheist 2012
## 3174 Australia non-atheist 2012
## 3175 Australia non-atheist 2012
## 3176 Australia non-atheist 2012
## 3177 Australia non-atheist 2012
## 3178 Australia non-atheist 2012
## 3179 Australia non-atheist 2012
## 3180 Australia non-atheist 2012
## 3181 Australia atheist 2012
## 3182 Australia non-atheist 2012
## 3183 Australia non-atheist 2012
## 3184 Australia atheist 2012
## 3185 Australia non-atheist 2012
## 3186 Australia non-atheist 2012
## 3187 Australia atheist 2012
## 3188 Australia atheist 2012
## 3189 Australia non-atheist 2012
## 3190 Australia non-atheist 2012
## 3191 Australia non-atheist 2012
## 3192 Australia non-atheist 2012
## 3193 Australia non-atheist 2012
## 3194 Australia non-atheist 2012
## 3195 Australia atheist 2012
## 3196 Australia non-atheist 2012
## 3197 Australia non-atheist 2012
## 3198 Australia non-atheist 2012
## 3199 Australia non-atheist 2012
## 3200 Australia non-atheist 2012
## 3201 Australia atheist 2012
## 3202 Australia non-atheist 2012
## 3203 Australia non-atheist 2012
## 3204 Australia non-atheist 2012
## 3205 Australia non-atheist 2012
## 3206 Australia non-atheist 2012
## 3207 Australia non-atheist 2012
## 3208 Australia non-atheist 2012
## 3209 Australia non-atheist 2012
## 3210 Australia non-atheist 2012
## 3211 Australia non-atheist 2012
## 3212 Australia non-atheist 2012
## 3213 Australia non-atheist 2012
## 3214 Australia non-atheist 2012
## 3215 Australia non-atheist 2012
## 3216 Australia non-atheist 2012
## 3217 Australia non-atheist 2012
## 3218 Australia non-atheist 2012
## 3219 Australia non-atheist 2012
## 3220 Australia atheist 2012
## 3221 Australia non-atheist 2012
## 3222 Australia non-atheist 2012
## 3223 Australia non-atheist 2012
## 3224 Australia non-atheist 2012
## 3225 Australia non-atheist 2012
## 3226 Australia non-atheist 2012
## 3227 Australia non-atheist 2012
## 3228 Australia atheist 2012
## 3229 Australia non-atheist 2012
## 3230 Australia non-atheist 2012
## 3231 Australia non-atheist 2012
## 3232 Australia non-atheist 2012
## 3233 Australia non-atheist 2012
## 3234 Australia non-atheist 2012
## 3235 Australia non-atheist 2012
## 3236 Australia non-atheist 2012
## 3237 Australia non-atheist 2012
## 3238 Australia non-atheist 2012
## 3239 Australia non-atheist 2012
## 3240 Australia non-atheist 2012
## 3241 Australia non-atheist 2012
## 3242 Australia atheist 2012
## 3243 Australia non-atheist 2012
## 3244 Australia non-atheist 2012
## 3245 Australia non-atheist 2012
## 3246 Australia non-atheist 2012
## 3247 Australia non-atheist 2012
## 3248 Australia non-atheist 2012
## 3249 Australia non-atheist 2012
## 3250 Australia atheist 2012
## 3251 Australia non-atheist 2012
## 3252 Australia non-atheist 2012
## 3253 Australia non-atheist 2012
## 3254 Australia non-atheist 2012
## 3255 Australia non-atheist 2012
## 3256 Australia non-atheist 2012
## 3257 Australia non-atheist 2012
## 3258 Australia non-atheist 2012
## 3259 Australia non-atheist 2012
## 3260 Australia non-atheist 2012
## 3261 Australia non-atheist 2012
## 3262 Australia non-atheist 2012
## 3263 Australia non-atheist 2012
## 3264 Australia non-atheist 2012
## 3265 Australia non-atheist 2012
## 3266 Australia atheist 2012
## 3267 Australia non-atheist 2012
## 3268 Australia non-atheist 2012
## 3269 Australia non-atheist 2012
## 3270 Australia non-atheist 2012
## 3271 Australia non-atheist 2012
## 3272 Australia non-atheist 2012
## 3273 Australia non-atheist 2012
## 3274 Australia non-atheist 2012
## 3275 Australia non-atheist 2012
## 3276 Australia non-atheist 2012
## 3277 Australia non-atheist 2012
## 3278 Australia non-atheist 2012
## 3279 Australia non-atheist 2012
## 3280 Australia non-atheist 2012
## 3281 Australia non-atheist 2012
## 3282 Australia non-atheist 2012
## 3283 Australia non-atheist 2012
## 3284 Australia non-atheist 2012
## 3285 Australia non-atheist 2012
## 3286 Australia non-atheist 2012
## 3287 Australia non-atheist 2012
## 3288 Australia non-atheist 2012
## 3289 Australia non-atheist 2012
## 3290 Australia atheist 2012
## 3291 Australia non-atheist 2012
## 3292 Australia non-atheist 2012
## 3293 Australia non-atheist 2012
## 3294 Australia non-atheist 2012
## 3295 Australia non-atheist 2012
## 3296 Australia non-atheist 2012
## 3297 Australia non-atheist 2012
## 3298 Australia non-atheist 2012
## 3299 Australia non-atheist 2012
## 3300 Australia non-atheist 2012
## 3301 Australia non-atheist 2012
## 3302 Australia non-atheist 2012
## 3303 Australia non-atheist 2012
## 3304 Australia non-atheist 2012
## 3305 Australia non-atheist 2012
## 3306 Australia non-atheist 2012
## 3307 Australia non-atheist 2012
## 3308 Australia non-atheist 2012
## 3309 Australia non-atheist 2012
## 3310 Australia atheist 2012
## 3311 Australia atheist 2012
## 3312 Australia non-atheist 2012
## 3313 Australia non-atheist 2012
## 3314 Australia non-atheist 2012
## 3315 Australia non-atheist 2012
## 3316 Australia non-atheist 2012
## 3317 Australia non-atheist 2012
## 3318 Australia atheist 2012
## 3319 Australia non-atheist 2012
## 3320 Australia non-atheist 2012
## 3321 Australia non-atheist 2012
## 3322 Australia non-atheist 2012
## 3323 Australia non-atheist 2012
## 3324 Australia non-atheist 2012
## 3325 Australia non-atheist 2012
## 3326 Australia non-atheist 2012
## 3327 Australia non-atheist 2012
## 3328 Australia non-atheist 2012
## 3329 Australia non-atheist 2012
## 3330 Australia non-atheist 2012
## 3331 Australia non-atheist 2012
## 3332 Australia non-atheist 2012
## 3333 Australia non-atheist 2012
## 3334 Australia atheist 2012
## 3335 Australia non-atheist 2012
## 3336 Australia non-atheist 2012
## 3337 Australia non-atheist 2012
## 3338 Australia atheist 2012
## 3339 Australia non-atheist 2012
## 3340 Australia non-atheist 2012
## 3341 Australia non-atheist 2012
## 3342 Australia non-atheist 2012
## 3343 Australia non-atheist 2012
## 3344 Australia atheist 2012
## 3345 Australia non-atheist 2012
## 3346 Australia non-atheist 2012
## 3347 Australia non-atheist 2012
## 3348 Australia non-atheist 2012
## 3349 Australia non-atheist 2012
## 3350 Australia non-atheist 2012
## 3351 Australia non-atheist 2012
## 3352 Australia non-atheist 2012
## 3353 Australia non-atheist 2012
## 3354 Australia non-atheist 2012
## 3355 Australia atheist 2012
## 3356 Australia non-atheist 2012
## 3357 Australia non-atheist 2012
## 3358 Australia non-atheist 2012
## 3359 Australia non-atheist 2012
## 3360 Australia non-atheist 2012
## 3361 Australia non-atheist 2012
## 3362 Australia non-atheist 2012
## 3363 Australia non-atheist 2012
## 3364 Australia non-atheist 2012
## 3365 Australia atheist 2012
## 3366 Australia non-atheist 2012
## 3367 Australia atheist 2012
## 3368 Australia non-atheist 2012
## 3369 Australia non-atheist 2012
## 3370 Australia non-atheist 2012
## 3371 Australia non-atheist 2012
## 3372 Australia non-atheist 2012
## 3373 Australia atheist 2012
## 3374 Australia non-atheist 2012
## 3375 Australia non-atheist 2012
## 3376 Australia non-atheist 2012
## 3377 Australia non-atheist 2012
## 3378 Australia non-atheist 2012
## 3379 Australia non-atheist 2012
## 3380 Australia non-atheist 2012
## 3381 Australia non-atheist 2012
## 3382 Australia non-atheist 2012
## 3383 Australia non-atheist 2012
## 3384 Australia non-atheist 2012
## 3385 Australia non-atheist 2012
## 3386 Australia non-atheist 2012
## 3387 Australia non-atheist 2012
## 3388 Australia non-atheist 2012
## 3389 Australia atheist 2012
## 3390 Australia non-atheist 2012
## 3391 Australia atheist 2012
## 3392 Australia non-atheist 2012
## 3393 Australia non-atheist 2012
## 3394 Australia non-atheist 2012
## 3395 Australia atheist 2012
## 3396 Australia atheist 2012
## 3397 Australia non-atheist 2012
## 3398 Australia non-atheist 2012
## 3399 Australia non-atheist 2012
## 3400 Australia non-atheist 2012
## 3401 Australia non-atheist 2012
## 3402 Australia non-atheist 2012
## 3403 Australia non-atheist 2012
## 3404 Australia atheist 2012
## 3405 Australia non-atheist 2012
## 3406 Australia non-atheist 2012
## 3407 Australia atheist 2012
## 3408 Australia non-atheist 2012
## 3409 Australia non-atheist 2012
## 3410 Australia non-atheist 2012
## 3411 Australia non-atheist 2012
## 3412 Australia non-atheist 2012
## 3413 Australia non-atheist 2012
## 3414 Australia non-atheist 2012
## 3415 Australia non-atheist 2012
## 3416 Australia non-atheist 2012
## 3417 Australia non-atheist 2012
## 3418 Australia non-atheist 2012
## 3419 Australia non-atheist 2012
## 3420 Australia non-atheist 2012
## 3421 Australia non-atheist 2012
## 3422 Australia non-atheist 2012
## 3423 Australia non-atheist 2012
## 3424 Australia non-atheist 2012
## 3425 Australia non-atheist 2012
## 3426 Australia atheist 2012
## 3427 Australia non-atheist 2012
## 3428 Australia non-atheist 2012
## 3429 Australia non-atheist 2012
## 3430 Australia non-atheist 2012
## 3431 Australia non-atheist 2012
## 3432 Australia non-atheist 2012
## 3433 Australia non-atheist 2012
## 3434 Australia non-atheist 2012
## 3435 Australia non-atheist 2012
## 3436 Australia non-atheist 2012
## 3437 Australia non-atheist 2012
## 3438 Australia non-atheist 2012
## 3439 Australia non-atheist 2012
## 3440 Australia non-atheist 2012
## 3441 Australia non-atheist 2012
## 3442 Australia non-atheist 2012
## 3443 Australia non-atheist 2012
## 3444 Australia non-atheist 2012
## 3445 Australia non-atheist 2012
## 3446 Australia atheist 2012
## 3447 Australia non-atheist 2012
## 3448 Australia non-atheist 2012
## 3449 Australia non-atheist 2012
## 3450 Australia non-atheist 2012
## 3451 Australia non-atheist 2012
## 3452 Australia non-atheist 2012
## 3453 Australia non-atheist 2012
## 3454 Australia atheist 2012
## 3455 Australia non-atheist 2012
## 3456 Australia non-atheist 2012
## 3457 Australia non-atheist 2012
## 3458 Australia non-atheist 2012
## 3459 Australia non-atheist 2012
## 3460 Australia non-atheist 2012
## 3461 Australia non-atheist 2012
## 3462 Australia non-atheist 2012
## 3463 Australia non-atheist 2012
## 3464 Australia non-atheist 2012
## 3465 Australia non-atheist 2012
## 3466 Australia non-atheist 2012
## 3467 Australia non-atheist 2012
## 3468 Australia non-atheist 2012
## 3469 Australia atheist 2012
## 3470 Australia non-atheist 2012
## 3471 Australia non-atheist 2012
## 3472 Australia non-atheist 2012
## 3473 Australia non-atheist 2012
## 3474 Australia non-atheist 2012
## 3475 Australia non-atheist 2012
## 3476 Australia atheist 2012
## 3477 Australia non-atheist 2012
## 3478 Australia non-atheist 2012
## 3479 Australia non-atheist 2012
## 3480 Australia non-atheist 2012
## 3481 Australia non-atheist 2012
## 3482 Australia non-atheist 2012
## 3483 Australia non-atheist 2012
## 3484 Australia non-atheist 2012
## 3485 Australia non-atheist 2012
## 3486 Australia non-atheist 2012
## 3487 Australia non-atheist 2012
## 3488 Australia non-atheist 2012
## 3489 Australia non-atheist 2012
## 3490 Australia non-atheist 2012
## 3491 Australia non-atheist 2012
## 3492 Australia non-atheist 2012
## 3493 Australia non-atheist 2012
## 3494 Australia non-atheist 2012
## 3495 Australia non-atheist 2012
## 3496 Australia atheist 2012
## 3497 Australia non-atheist 2012
## 3498 Australia non-atheist 2012
## 3499 Australia non-atheist 2012
## 3500 Australia atheist 2012
## 3501 Australia non-atheist 2012
## 3502 Australia non-atheist 2012
## 3503 Australia non-atheist 2012
## 3504 Australia non-atheist 2012
## 3505 Australia non-atheist 2012
## 3506 Australia non-atheist 2012
## 3507 Australia non-atheist 2012
## 3508 Australia non-atheist 2012
## 3509 Australia non-atheist 2012
## 3510 Australia non-atheist 2012
## 3511 Australia non-atheist 2012
## 3512 Australia non-atheist 2012
## 3513 Australia non-atheist 2012
## 3514 Australia atheist 2012
## 3515 Australia non-atheist 2012
## 3516 Australia non-atheist 2012
## 3517 Australia non-atheist 2012
## 3518 Australia non-atheist 2012
## 3519 Australia non-atheist 2012
## 3520 Australia non-atheist 2012
## 3521 Australia non-atheist 2012
## 3522 Australia non-atheist 2012
## 3523 Australia non-atheist 2012
## 3524 Australia non-atheist 2012
## 3525 Australia non-atheist 2012
## 3526 Australia non-atheist 2012
## 3527 Australia non-atheist 2012
## 3528 Australia non-atheist 2012
## 3529 Australia non-atheist 2012
## 3530 Australia non-atheist 2012
## 3531 Australia non-atheist 2012
## 3532 Australia non-atheist 2012
## 3533 Australia non-atheist 2012
## 3534 Australia non-atheist 2012
## 3535 Australia non-atheist 2012
## 3536 Australia non-atheist 2012
## 3537 Australia non-atheist 2012
## 3538 Australia non-atheist 2012
## 3539 Australia non-atheist 2012
## 3540 Australia non-atheist 2012
## 3541 Australia atheist 2012
## 3542 Australia non-atheist 2012
## 3543 Australia non-atheist 2012
## 3544 Australia atheist 2012
## 3545 Australia non-atheist 2012
## 3546 Australia atheist 2012
## 3547 Australia non-atheist 2012
## 3548 Australia atheist 2012
## 3549 Australia non-atheist 2012
## 3550 Australia non-atheist 2012
## 3551 Australia non-atheist 2012
## 3552 Australia non-atheist 2012
## 3553 Australia non-atheist 2012
## 3554 Australia non-atheist 2012
## 3555 Australia atheist 2012
## 3556 Australia non-atheist 2012
#Create data sets for Australia and Ecuador
#Ecuador
ecuador12 <- subset(atheism, nationality == "Ecuador" & year == "2012")
ecuador12## nationality response year
## 13215 Ecuador non-atheist 2012
## 13216 Ecuador non-atheist 2012
## 13217 Ecuador non-atheist 2012
## 13218 Ecuador non-atheist 2012
## 13219 Ecuador non-atheist 2012
## 13220 Ecuador non-atheist 2012
## 13221 Ecuador non-atheist 2012
## 13222 Ecuador atheist 2012
## 13223 Ecuador non-atheist 2012
## 13224 Ecuador non-atheist 2012
## 13225 Ecuador non-atheist 2012
## 13226 Ecuador non-atheist 2012
## 13227 Ecuador atheist 2012
## 13228 Ecuador non-atheist 2012
## 13229 Ecuador non-atheist 2012
## 13230 Ecuador non-atheist 2012
## 13231 Ecuador non-atheist 2012
## 13232 Ecuador non-atheist 2012
## 13233 Ecuador atheist 2012
## 13234 Ecuador non-atheist 2012
## 13235 Ecuador non-atheist 2012
## 13236 Ecuador non-atheist 2012
## 13237 Ecuador non-atheist 2012
## 13238 Ecuador non-atheist 2012
## 13239 Ecuador non-atheist 2012
## 13240 Ecuador non-atheist 2012
## 13241 Ecuador non-atheist 2012
## 13242 Ecuador non-atheist 2012
## 13243 Ecuador non-atheist 2012
## 13244 Ecuador non-atheist 2012
## 13245 Ecuador non-atheist 2012
## 13246 Ecuador non-atheist 2012
## 13247 Ecuador non-atheist 2012
## 13248 Ecuador non-atheist 2012
## 13249 Ecuador non-atheist 2012
## 13250 Ecuador non-atheist 2012
## 13251 Ecuador non-atheist 2012
## 13252 Ecuador non-atheist 2012
## 13253 Ecuador non-atheist 2012
## 13254 Ecuador non-atheist 2012
## 13255 Ecuador non-atheist 2012
## 13256 Ecuador non-atheist 2012
## 13257 Ecuador non-atheist 2012
## 13258 Ecuador non-atheist 2012
## 13259 Ecuador non-atheist 2012
## 13260 Ecuador non-atheist 2012
## 13261 Ecuador non-atheist 2012
## 13262 Ecuador non-atheist 2012
## 13263 Ecuador non-atheist 2012
## 13264 Ecuador non-atheist 2012
## 13265 Ecuador non-atheist 2012
## 13266 Ecuador non-atheist 2012
## 13267 Ecuador non-atheist 2012
## 13268 Ecuador non-atheist 2012
## 13269 Ecuador non-atheist 2012
## 13270 Ecuador non-atheist 2012
## 13271 Ecuador non-atheist 2012
## 13272 Ecuador non-atheist 2012
## 13273 Ecuador non-atheist 2012
## 13274 Ecuador non-atheist 2012
## 13275 Ecuador non-atheist 2012
## 13276 Ecuador non-atheist 2012
## 13277 Ecuador non-atheist 2012
## 13278 Ecuador non-atheist 2012
## 13279 Ecuador atheist 2012
## 13280 Ecuador non-atheist 2012
## 13281 Ecuador non-atheist 2012
## 13282 Ecuador non-atheist 2012
## 13283 Ecuador non-atheist 2012
## 13284 Ecuador non-atheist 2012
## 13285 Ecuador non-atheist 2012
## 13286 Ecuador non-atheist 2012
## 13287 Ecuador non-atheist 2012
## 13288 Ecuador non-atheist 2012
## 13289 Ecuador non-atheist 2012
## 13290 Ecuador non-atheist 2012
## 13291 Ecuador non-atheist 2012
## 13292 Ecuador non-atheist 2012
## 13293 Ecuador non-atheist 2012
## 13294 Ecuador non-atheist 2012
## 13295 Ecuador non-atheist 2012
## 13296 Ecuador non-atheist 2012
## 13297 Ecuador non-atheist 2012
## 13298 Ecuador non-atheist 2012
## 13299 Ecuador non-atheist 2012
## 13300 Ecuador non-atheist 2012
## 13301 Ecuador non-atheist 2012
## 13302 Ecuador non-atheist 2012
## 13303 Ecuador non-atheist 2012
## 13304 Ecuador non-atheist 2012
## 13305 Ecuador non-atheist 2012
## 13306 Ecuador non-atheist 2012
## 13307 Ecuador non-atheist 2012
## 13308 Ecuador non-atheist 2012
## 13309 Ecuador non-atheist 2012
## 13310 Ecuador non-atheist 2012
## 13311 Ecuador non-atheist 2012
## 13312 Ecuador non-atheist 2012
## 13313 Ecuador non-atheist 2012
## 13314 Ecuador non-atheist 2012
## 13315 Ecuador non-atheist 2012
## 13316 Ecuador non-atheist 2012
## 13317 Ecuador non-atheist 2012
## 13318 Ecuador non-atheist 2012
## 13319 Ecuador non-atheist 2012
## 13320 Ecuador non-atheist 2012
## 13321 Ecuador non-atheist 2012
## 13322 Ecuador non-atheist 2012
## 13323 Ecuador non-atheist 2012
## 13324 Ecuador non-atheist 2012
## 13325 Ecuador non-atheist 2012
## 13326 Ecuador non-atheist 2012
## 13327 Ecuador non-atheist 2012
## 13328 Ecuador non-atheist 2012
## 13329 Ecuador non-atheist 2012
## 13330 Ecuador non-atheist 2012
## 13331 Ecuador non-atheist 2012
## 13332 Ecuador non-atheist 2012
## 13333 Ecuador non-atheist 2012
## 13334 Ecuador non-atheist 2012
## 13335 Ecuador non-atheist 2012
## 13336 Ecuador non-atheist 2012
## 13337 Ecuador non-atheist 2012
## 13338 Ecuador non-atheist 2012
## 13339 Ecuador non-atheist 2012
## 13340 Ecuador non-atheist 2012
## 13341 Ecuador non-atheist 2012
## 13342 Ecuador non-atheist 2012
## 13343 Ecuador non-atheist 2012
## 13344 Ecuador non-atheist 2012
## 13345 Ecuador non-atheist 2012
## 13346 Ecuador non-atheist 2012
## 13347 Ecuador non-atheist 2012
## 13348 Ecuador non-atheist 2012
## 13349 Ecuador non-atheist 2012
## 13350 Ecuador non-atheist 2012
## 13351 Ecuador non-atheist 2012
## 13352 Ecuador non-atheist 2012
## 13353 Ecuador non-atheist 2012
## 13354 Ecuador non-atheist 2012
## 13355 Ecuador non-atheist 2012
## 13356 Ecuador non-atheist 2012
## 13357 Ecuador non-atheist 2012
## 13358 Ecuador non-atheist 2012
## 13359 Ecuador non-atheist 2012
## 13360 Ecuador non-atheist 2012
## 13361 Ecuador non-atheist 2012
## 13362 Ecuador non-atheist 2012
## 13363 Ecuador non-atheist 2012
## 13364 Ecuador non-atheist 2012
## 13365 Ecuador non-atheist 2012
## 13366 Ecuador non-atheist 2012
## 13367 Ecuador non-atheist 2012
## 13368 Ecuador non-atheist 2012
## 13369 Ecuador non-atheist 2012
## 13370 Ecuador non-atheist 2012
## 13371 Ecuador non-atheist 2012
## 13372 Ecuador non-atheist 2012
## 13373 Ecuador non-atheist 2012
## 13374 Ecuador non-atheist 2012
## 13375 Ecuador non-atheist 2012
## 13376 Ecuador non-atheist 2012
## 13377 Ecuador non-atheist 2012
## 13378 Ecuador non-atheist 2012
## 13379 Ecuador non-atheist 2012
## 13380 Ecuador non-atheist 2012
## 13381 Ecuador non-atheist 2012
## 13382 Ecuador non-atheist 2012
## 13383 Ecuador non-atheist 2012
## 13384 Ecuador non-atheist 2012
## 13385 Ecuador non-atheist 2012
## 13386 Ecuador non-atheist 2012
## 13387 Ecuador non-atheist 2012
## 13388 Ecuador non-atheist 2012
## 13389 Ecuador non-atheist 2012
## 13390 Ecuador non-atheist 2012
## 13391 Ecuador non-atheist 2012
## 13392 Ecuador non-atheist 2012
## 13393 Ecuador non-atheist 2012
## 13394 Ecuador non-atheist 2012
## 13395 Ecuador non-atheist 2012
## 13396 Ecuador non-atheist 2012
## 13397 Ecuador non-atheist 2012
## 13398 Ecuador non-atheist 2012
## 13399 Ecuador non-atheist 2012
## 13400 Ecuador non-atheist 2012
## 13401 Ecuador non-atheist 2012
## 13402 Ecuador non-atheist 2012
## 13403 Ecuador non-atheist 2012
## 13404 Ecuador non-atheist 2012
## 13405 Ecuador non-atheist 2012
## 13406 Ecuador non-atheist 2012
## 13407 Ecuador non-atheist 2012
## 13408 Ecuador non-atheist 2012
## 13409 Ecuador non-atheist 2012
## 13410 Ecuador non-atheist 2012
## 13411 Ecuador non-atheist 2012
## 13412 Ecuador non-atheist 2012
## 13413 Ecuador non-atheist 2012
## 13414 Ecuador non-atheist 2012
## 13415 Ecuador non-atheist 2012
## 13416 Ecuador non-atheist 2012
## 13417 Ecuador atheist 2012
## 13418 Ecuador non-atheist 2012
## 13419 Ecuador non-atheist 2012
## 13420 Ecuador non-atheist 2012
## 13421 Ecuador non-atheist 2012
## 13422 Ecuador non-atheist 2012
## 13423 Ecuador non-atheist 2012
## 13424 Ecuador non-atheist 2012
## 13425 Ecuador non-atheist 2012
## 13426 Ecuador non-atheist 2012
## 13427 Ecuador non-atheist 2012
## 13428 Ecuador non-atheist 2012
## 13429 Ecuador non-atheist 2012
## 13430 Ecuador non-atheist 2012
## 13431 Ecuador non-atheist 2012
## 13432 Ecuador non-atheist 2012
## 13433 Ecuador non-atheist 2012
## 13434 Ecuador non-atheist 2012
## 13435 Ecuador non-atheist 2012
## 13436 Ecuador atheist 2012
## 13437 Ecuador non-atheist 2012
## 13438 Ecuador non-atheist 2012
## 13439 Ecuador non-atheist 2012
## 13440 Ecuador non-atheist 2012
## 13441 Ecuador non-atheist 2012
## 13442 Ecuador atheist 2012
## 13443 Ecuador non-atheist 2012
## 13444 Ecuador non-atheist 2012
## 13445 Ecuador non-atheist 2012
## 13446 Ecuador non-atheist 2012
## 13447 Ecuador non-atheist 2012
## 13448 Ecuador non-atheist 2012
## 13449 Ecuador non-atheist 2012
## 13450 Ecuador non-atheist 2012
## 13451 Ecuador non-atheist 2012
## 13452 Ecuador non-atheist 2012
## 13453 Ecuador non-atheist 2012
## 13454 Ecuador non-atheist 2012
## 13455 Ecuador non-atheist 2012
## 13456 Ecuador non-atheist 2012
## 13457 Ecuador non-atheist 2012
## 13458 Ecuador atheist 2012
## 13459 Ecuador non-atheist 2012
## 13460 Ecuador non-atheist 2012
## 13461 Ecuador non-atheist 2012
## 13462 Ecuador non-atheist 2012
## 13463 Ecuador non-atheist 2012
## 13464 Ecuador non-atheist 2012
## 13465 Ecuador non-atheist 2012
## 13466 Ecuador non-atheist 2012
## 13467 Ecuador non-atheist 2012
## 13468 Ecuador non-atheist 2012
## 13469 Ecuador non-atheist 2012
## 13470 Ecuador non-atheist 2012
## 13471 Ecuador non-atheist 2012
## 13472 Ecuador non-atheist 2012
## 13473 Ecuador non-atheist 2012
## 13474 Ecuador non-atheist 2012
## 13475 Ecuador non-atheist 2012
## 13476 Ecuador non-atheist 2012
## 13477 Ecuador non-atheist 2012
## 13478 Ecuador non-atheist 2012
## 13479 Ecuador non-atheist 2012
## 13480 Ecuador non-atheist 2012
## 13481 Ecuador non-atheist 2012
## 13482 Ecuador non-atheist 2012
## 13483 Ecuador non-atheist 2012
## 13484 Ecuador non-atheist 2012
## 13485 Ecuador non-atheist 2012
## 13486 Ecuador non-atheist 2012
## 13487 Ecuador non-atheist 2012
## 13488 Ecuador non-atheist 2012
## 13489 Ecuador non-atheist 2012
## 13490 Ecuador non-atheist 2012
## 13491 Ecuador non-atheist 2012
## 13492 Ecuador non-atheist 2012
## 13493 Ecuador non-atheist 2012
## 13494 Ecuador non-atheist 2012
## 13495 Ecuador non-atheist 2012
## 13496 Ecuador non-atheist 2012
## 13497 Ecuador non-atheist 2012
## 13498 Ecuador non-atheist 2012
## 13499 Ecuador non-atheist 2012
## 13500 Ecuador non-atheist 2012
## 13501 Ecuador non-atheist 2012
## 13502 Ecuador non-atheist 2012
## 13503 Ecuador non-atheist 2012
## 13504 Ecuador non-atheist 2012
## 13505 Ecuador non-atheist 2012
## 13506 Ecuador non-atheist 2012
## 13507 Ecuador non-atheist 2012
## 13508 Ecuador non-atheist 2012
## 13509 Ecuador non-atheist 2012
## 13510 Ecuador non-atheist 2012
## 13511 Ecuador non-atheist 2012
## 13512 Ecuador non-atheist 2012
## 13513 Ecuador non-atheist 2012
## 13514 Ecuador non-atheist 2012
## 13515 Ecuador non-atheist 2012
## 13516 Ecuador non-atheist 2012
## 13517 Ecuador non-atheist 2012
## 13518 Ecuador non-atheist 2012
## 13519 Ecuador non-atheist 2012
## 13520 Ecuador non-atheist 2012
## 13521 Ecuador non-atheist 2012
## 13522 Ecuador non-atheist 2012
## 13523 Ecuador non-atheist 2012
## 13524 Ecuador non-atheist 2012
## 13525 Ecuador non-atheist 2012
## 13526 Ecuador non-atheist 2012
## 13527 Ecuador non-atheist 2012
## 13528 Ecuador non-atheist 2012
## 13529 Ecuador non-atheist 2012
## 13530 Ecuador non-atheist 2012
## 13531 Ecuador non-atheist 2012
## 13532 Ecuador non-atheist 2012
## 13533 Ecuador non-atheist 2012
## 13534 Ecuador non-atheist 2012
## 13535 Ecuador non-atheist 2012
## 13536 Ecuador non-atheist 2012
## 13537 Ecuador non-atheist 2012
## 13538 Ecuador non-atheist 2012
## 13539 Ecuador non-atheist 2012
## 13540 Ecuador non-atheist 2012
## 13541 Ecuador non-atheist 2012
## 13542 Ecuador non-atheist 2012
## 13543 Ecuador non-atheist 2012
## 13544 Ecuador non-atheist 2012
## 13545 Ecuador non-atheist 2012
## 13546 Ecuador non-atheist 2012
## 13547 Ecuador non-atheist 2012
## 13548 Ecuador non-atheist 2012
## 13549 Ecuador non-atheist 2012
## 13550 Ecuador non-atheist 2012
## 13551 Ecuador non-atheist 2012
## 13552 Ecuador non-atheist 2012
## 13553 Ecuador non-atheist 2012
## 13554 Ecuador non-atheist 2012
## 13555 Ecuador non-atheist 2012
## 13556 Ecuador non-atheist 2012
## 13557 Ecuador non-atheist 2012
## 13558 Ecuador non-atheist 2012
## 13559 Ecuador non-atheist 2012
## 13560 Ecuador non-atheist 2012
## 13561 Ecuador non-atheist 2012
## 13562 Ecuador non-atheist 2012
## 13563 Ecuador non-atheist 2012
## 13564 Ecuador non-atheist 2012
## 13565 Ecuador non-atheist 2012
## 13566 Ecuador non-atheist 2012
## 13567 Ecuador non-atheist 2012
## 13568 Ecuador non-atheist 2012
## 13569 Ecuador non-atheist 2012
## 13570 Ecuador non-atheist 2012
## 13571 Ecuador non-atheist 2012
## 13572 Ecuador non-atheist 2012
## 13573 Ecuador non-atheist 2012
## 13574 Ecuador non-atheist 2012
## 13575 Ecuador non-atheist 2012
## 13576 Ecuador non-atheist 2012
## 13577 Ecuador non-atheist 2012
## 13578 Ecuador non-atheist 2012
## 13579 Ecuador non-atheist 2012
## 13580 Ecuador non-atheist 2012
## 13581 Ecuador non-atheist 2012
## 13582 Ecuador non-atheist 2012
## 13583 Ecuador non-atheist 2012
## 13584 Ecuador non-atheist 2012
## 13585 Ecuador non-atheist 2012
## 13586 Ecuador non-atheist 2012
## 13587 Ecuador non-atheist 2012
## 13588 Ecuador non-atheist 2012
## 13589 Ecuador non-atheist 2012
## 13590 Ecuador non-atheist 2012
## 13591 Ecuador non-atheist 2012
## 13592 Ecuador non-atheist 2012
## 13593 Ecuador non-atheist 2012
## 13594 Ecuador non-atheist 2012
## 13595 Ecuador non-atheist 2012
## 13596 Ecuador non-atheist 2012
## 13597 Ecuador non-atheist 2012
## 13598 Ecuador non-atheist 2012
## 13599 Ecuador non-atheist 2012
## 13600 Ecuador non-atheist 2012
## 13601 Ecuador non-atheist 2012
## 13602 Ecuador non-atheist 2012
## 13603 Ecuador non-atheist 2012
## 13604 Ecuador non-atheist 2012
## 13605 Ecuador non-atheist 2012
## 13606 Ecuador non-atheist 2012
## 13607 Ecuador non-atheist 2012
## 13608 Ecuador non-atheist 2012
## 13609 Ecuador non-atheist 2012
## 13610 Ecuador non-atheist 2012
## 13611 Ecuador non-atheist 2012
## 13612 Ecuador non-atheist 2012
## 13613 Ecuador non-atheist 2012
## 13614 Ecuador non-atheist 2012
## 13615 Ecuador non-atheist 2012
## 13616 Ecuador non-atheist 2012
## 13617 Ecuador non-atheist 2012
## 13618 Ecuador non-atheist 2012
#Create data sets for Australia and Ecuador
#Australia
australia12 <- subset(atheism, nationality == "Australia" & year == "2012")
australia12## nationality response year
## 2518 Australia non-atheist 2012
## 2519 Australia non-atheist 2012
## 2520 Australia non-atheist 2012
## 2521 Australia non-atheist 2012
## 2522 Australia non-atheist 2012
## 2523 Australia non-atheist 2012
## 2524 Australia non-atheist 2012
## 2525 Australia non-atheist 2012
## 2526 Australia non-atheist 2012
## 2527 Australia non-atheist 2012
## 2528 Australia non-atheist 2012
## 2529 Australia non-atheist 2012
## 2530 Australia non-atheist 2012
## 2531 Australia atheist 2012
## 2532 Australia non-atheist 2012
## 2533 Australia non-atheist 2012
## 2534 Australia non-atheist 2012
## 2535 Australia atheist 2012
## 2536 Australia non-atheist 2012
## 2537 Australia atheist 2012
## 2538 Australia non-atheist 2012
## 2539 Australia atheist 2012
## 2540 Australia non-atheist 2012
## 2541 Australia non-atheist 2012
## 2542 Australia non-atheist 2012
## 2543 Australia non-atheist 2012
## 2544 Australia non-atheist 2012
## 2545 Australia non-atheist 2012
## 2546 Australia non-atheist 2012
## 2547 Australia non-atheist 2012
## 2548 Australia non-atheist 2012
## 2549 Australia non-atheist 2012
## 2550 Australia non-atheist 2012
## 2551 Australia non-atheist 2012
## 2552 Australia atheist 2012
## 2553 Australia non-atheist 2012
## 2554 Australia non-atheist 2012
## 2555 Australia atheist 2012
## 2556 Australia non-atheist 2012
## 2557 Australia non-atheist 2012
## 2558 Australia non-atheist 2012
## 2559 Australia non-atheist 2012
## 2560 Australia non-atheist 2012
## 2561 Australia non-atheist 2012
## 2562 Australia non-atheist 2012
## 2563 Australia non-atheist 2012
## 2564 Australia non-atheist 2012
## 2565 Australia non-atheist 2012
## 2566 Australia atheist 2012
## 2567 Australia non-atheist 2012
## 2568 Australia non-atheist 2012
## 2569 Australia non-atheist 2012
## 2570 Australia non-atheist 2012
## 2571 Australia non-atheist 2012
## 2572 Australia non-atheist 2012
## 2573 Australia non-atheist 2012
## 2574 Australia non-atheist 2012
## 2575 Australia non-atheist 2012
## 2576 Australia atheist 2012
## 2577 Australia non-atheist 2012
## 2578 Australia non-atheist 2012
## 2579 Australia non-atheist 2012
## 2580 Australia atheist 2012
## 2581 Australia non-atheist 2012
## 2582 Australia non-atheist 2012
## 2583 Australia non-atheist 2012
## 2584 Australia non-atheist 2012
## 2585 Australia non-atheist 2012
## 2586 Australia non-atheist 2012
## 2587 Australia atheist 2012
## 2588 Australia non-atheist 2012
## 2589 Australia non-atheist 2012
## 2590 Australia non-atheist 2012
## 2591 Australia non-atheist 2012
## 2592 Australia non-atheist 2012
## 2593 Australia non-atheist 2012
## 2594 Australia non-atheist 2012
## 2595 Australia non-atheist 2012
## 2596 Australia non-atheist 2012
## 2597 Australia atheist 2012
## 2598 Australia non-atheist 2012
## 2599 Australia non-atheist 2012
## 2600 Australia non-atheist 2012
## 2601 Australia non-atheist 2012
## 2602 Australia non-atheist 2012
## 2603 Australia non-atheist 2012
## 2604 Australia non-atheist 2012
## 2605 Australia non-atheist 2012
## 2606 Australia non-atheist 2012
## 2607 Australia non-atheist 2012
## 2608 Australia non-atheist 2012
## 2609 Australia non-atheist 2012
## 2610 Australia non-atheist 2012
## 2611 Australia non-atheist 2012
## 2612 Australia non-atheist 2012
## 2613 Australia non-atheist 2012
## 2614 Australia non-atheist 2012
## 2615 Australia non-atheist 2012
## 2616 Australia non-atheist 2012
## 2617 Australia non-atheist 2012
## 2618 Australia non-atheist 2012
## 2619 Australia non-atheist 2012
## 2620 Australia non-atheist 2012
## 2621 Australia non-atheist 2012
## 2622 Australia non-atheist 2012
## 2623 Australia non-atheist 2012
## 2624 Australia non-atheist 2012
## 2625 Australia non-atheist 2012
## 2626 Australia non-atheist 2012
## 2627 Australia non-atheist 2012
## 2628 Australia non-atheist 2012
## 2629 Australia non-atheist 2012
## 2630 Australia non-atheist 2012
## 2631 Australia non-atheist 2012
## 2632 Australia non-atheist 2012
## 2633 Australia non-atheist 2012
## 2634 Australia non-atheist 2012
## 2635 Australia non-atheist 2012
## 2636 Australia non-atheist 2012
## 2637 Australia non-atheist 2012
## 2638 Australia non-atheist 2012
## 2639 Australia non-atheist 2012
## 2640 Australia non-atheist 2012
## 2641 Australia atheist 2012
## 2642 Australia non-atheist 2012
## 2643 Australia non-atheist 2012
## 2644 Australia non-atheist 2012
## 2645 Australia non-atheist 2012
## 2646 Australia non-atheist 2012
## 2647 Australia atheist 2012
## 2648 Australia non-atheist 2012
## 2649 Australia non-atheist 2012
## 2650 Australia non-atheist 2012
## 2651 Australia non-atheist 2012
## 2652 Australia non-atheist 2012
## 2653 Australia non-atheist 2012
## 2654 Australia non-atheist 2012
## 2655 Australia non-atheist 2012
## 2656 Australia non-atheist 2012
## 2657 Australia non-atheist 2012
## 2658 Australia non-atheist 2012
## 2659 Australia non-atheist 2012
## 2660 Australia non-atheist 2012
## 2661 Australia non-atheist 2012
## 2662 Australia non-atheist 2012
## 2663 Australia non-atheist 2012
## 2664 Australia non-atheist 2012
## 2665 Australia non-atheist 2012
## 2666 Australia non-atheist 2012
## 2667 Australia non-atheist 2012
## 2668 Australia non-atheist 2012
## 2669 Australia non-atheist 2012
## 2670 Australia non-atheist 2012
## 2671 Australia non-atheist 2012
## 2672 Australia non-atheist 2012
## 2673 Australia non-atheist 2012
## 2674 Australia non-atheist 2012
## 2675 Australia non-atheist 2012
## 2676 Australia non-atheist 2012
## 2677 Australia non-atheist 2012
## 2678 Australia non-atheist 2012
## 2679 Australia non-atheist 2012
## 2680 Australia non-atheist 2012
## 2681 Australia non-atheist 2012
## 2682 Australia non-atheist 2012
## 2683 Australia non-atheist 2012
## 2684 Australia non-atheist 2012
## 2685 Australia atheist 2012
## 2686 Australia non-atheist 2012
## 2687 Australia atheist 2012
## 2688 Australia non-atheist 2012
## 2689 Australia non-atheist 2012
## 2690 Australia non-atheist 2012
## 2691 Australia non-atheist 2012
## 2692 Australia non-atheist 2012
## 2693 Australia non-atheist 2012
## 2694 Australia non-atheist 2012
## 2695 Australia atheist 2012
## 2696 Australia non-atheist 2012
## 2697 Australia non-atheist 2012
## 2698 Australia atheist 2012
## 2699 Australia non-atheist 2012
## 2700 Australia non-atheist 2012
## 2701 Australia non-atheist 2012
## 2702 Australia non-atheist 2012
## 2703 Australia non-atheist 2012
## 2704 Australia non-atheist 2012
## 2705 Australia non-atheist 2012
## 2706 Australia non-atheist 2012
## 2707 Australia non-atheist 2012
## 2708 Australia non-atheist 2012
## 2709 Australia non-atheist 2012
## 2710 Australia non-atheist 2012
## 2711 Australia non-atheist 2012
## 2712 Australia non-atheist 2012
## 2713 Australia atheist 2012
## 2714 Australia atheist 2012
## 2715 Australia non-atheist 2012
## 2716 Australia non-atheist 2012
## 2717 Australia non-atheist 2012
## 2718 Australia non-atheist 2012
## 2719 Australia non-atheist 2012
## 2720 Australia non-atheist 2012
## 2721 Australia non-atheist 2012
## 2722 Australia atheist 2012
## 2723 Australia non-atheist 2012
## 2724 Australia non-atheist 2012
## 2725 Australia non-atheist 2012
## 2726 Australia non-atheist 2012
## 2727 Australia non-atheist 2012
## 2728 Australia non-atheist 2012
## 2729 Australia non-atheist 2012
## 2730 Australia non-atheist 2012
## 2731 Australia non-atheist 2012
## 2732 Australia non-atheist 2012
## 2733 Australia non-atheist 2012
## 2734 Australia non-atheist 2012
## 2735 Australia non-atheist 2012
## 2736 Australia non-atheist 2012
## 2737 Australia non-atheist 2012
## 2738 Australia non-atheist 2012
## 2739 Australia non-atheist 2012
## 2740 Australia non-atheist 2012
## 2741 Australia non-atheist 2012
## 2742 Australia non-atheist 2012
## 2743 Australia non-atheist 2012
## 2744 Australia non-atheist 2012
## 2745 Australia non-atheist 2012
## 2746 Australia non-atheist 2012
## 2747 Australia non-atheist 2012
## 2748 Australia non-atheist 2012
## 2749 Australia non-atheist 2012
## 2750 Australia non-atheist 2012
## 2751 Australia non-atheist 2012
## 2752 Australia non-atheist 2012
## 2753 Australia non-atheist 2012
## 2754 Australia non-atheist 2012
## 2755 Australia non-atheist 2012
## 2756 Australia non-atheist 2012
## 2757 Australia non-atheist 2012
## 2758 Australia non-atheist 2012
## 2759 Australia non-atheist 2012
## 2760 Australia non-atheist 2012
## 2761 Australia non-atheist 2012
## 2762 Australia atheist 2012
## 2763 Australia non-atheist 2012
## 2764 Australia non-atheist 2012
## 2765 Australia non-atheist 2012
## 2766 Australia non-atheist 2012
## 2767 Australia non-atheist 2012
## 2768 Australia non-atheist 2012
## 2769 Australia non-atheist 2012
## 2770 Australia non-atheist 2012
## 2771 Australia non-atheist 2012
## 2772 Australia non-atheist 2012
## 2773 Australia non-atheist 2012
## 2774 Australia atheist 2012
## 2775 Australia non-atheist 2012
## 2776 Australia atheist 2012
## 2777 Australia non-atheist 2012
## 2778 Australia non-atheist 2012
## 2779 Australia non-atheist 2012
## 2780 Australia non-atheist 2012
## 2781 Australia non-atheist 2012
## 2782 Australia non-atheist 2012
## 2783 Australia non-atheist 2012
## 2784 Australia non-atheist 2012
## 2785 Australia non-atheist 2012
## 2786 Australia non-atheist 2012
## 2787 Australia non-atheist 2012
## 2788 Australia non-atheist 2012
## 2789 Australia non-atheist 2012
## 2790 Australia atheist 2012
## 2791 Australia atheist 2012
## 2792 Australia non-atheist 2012
## 2793 Australia non-atheist 2012
## 2794 Australia non-atheist 2012
## 2795 Australia non-atheist 2012
## 2796 Australia atheist 2012
## 2797 Australia non-atheist 2012
## 2798 Australia non-atheist 2012
## 2799 Australia non-atheist 2012
## 2800 Australia non-atheist 2012
## 2801 Australia non-atheist 2012
## 2802 Australia non-atheist 2012
## 2803 Australia non-atheist 2012
## 2804 Australia non-atheist 2012
## 2805 Australia non-atheist 2012
## 2806 Australia non-atheist 2012
## 2807 Australia non-atheist 2012
## 2808 Australia non-atheist 2012
## 2809 Australia non-atheist 2012
## 2810 Australia non-atheist 2012
## 2811 Australia non-atheist 2012
## 2812 Australia non-atheist 2012
## 2813 Australia non-atheist 2012
## 2814 Australia non-atheist 2012
## 2815 Australia non-atheist 2012
## 2816 Australia non-atheist 2012
## 2817 Australia non-atheist 2012
## 2818 Australia atheist 2012
## 2819 Australia non-atheist 2012
## 2820 Australia non-atheist 2012
## 2821 Australia non-atheist 2012
## 2822 Australia atheist 2012
## 2823 Australia atheist 2012
## 2824 Australia non-atheist 2012
## 2825 Australia non-atheist 2012
## 2826 Australia non-atheist 2012
## 2827 Australia non-atheist 2012
## 2828 Australia non-atheist 2012
## 2829 Australia atheist 2012
## 2830 Australia non-atheist 2012
## 2831 Australia non-atheist 2012
## 2832 Australia non-atheist 2012
## 2833 Australia non-atheist 2012
## 2834 Australia non-atheist 2012
## 2835 Australia non-atheist 2012
## 2836 Australia non-atheist 2012
## 2837 Australia non-atheist 2012
## 2838 Australia non-atheist 2012
## 2839 Australia non-atheist 2012
## 2840 Australia non-atheist 2012
## 2841 Australia non-atheist 2012
## 2842 Australia non-atheist 2012
## 2843 Australia non-atheist 2012
## 2844 Australia non-atheist 2012
## 2845 Australia non-atheist 2012
## 2846 Australia non-atheist 2012
## 2847 Australia non-atheist 2012
## 2848 Australia non-atheist 2012
## 2849 Australia non-atheist 2012
## 2850 Australia non-atheist 2012
## 2851 Australia non-atheist 2012
## 2852 Australia non-atheist 2012
## 2853 Australia non-atheist 2012
## 2854 Australia non-atheist 2012
## 2855 Australia atheist 2012
## 2856 Australia atheist 2012
## 2857 Australia non-atheist 2012
## 2858 Australia non-atheist 2012
## 2859 Australia non-atheist 2012
## 2860 Australia non-atheist 2012
## 2861 Australia non-atheist 2012
## 2862 Australia non-atheist 2012
## 2863 Australia non-atheist 2012
## 2864 Australia non-atheist 2012
## 2865 Australia non-atheist 2012
## 2866 Australia non-atheist 2012
## 2867 Australia non-atheist 2012
## 2868 Australia atheist 2012
## 2869 Australia non-atheist 2012
## 2870 Australia atheist 2012
## 2871 Australia non-atheist 2012
## 2872 Australia non-atheist 2012
## 2873 Australia non-atheist 2012
## 2874 Australia non-atheist 2012
## 2875 Australia non-atheist 2012
## 2876 Australia non-atheist 2012
## 2877 Australia non-atheist 2012
## 2878 Australia atheist 2012
## 2879 Australia non-atheist 2012
## 2880 Australia non-atheist 2012
## 2881 Australia non-atheist 2012
## 2882 Australia non-atheist 2012
## 2883 Australia non-atheist 2012
## 2884 Australia non-atheist 2012
## 2885 Australia non-atheist 2012
## 2886 Australia non-atheist 2012
## 2887 Australia non-atheist 2012
## 2888 Australia non-atheist 2012
## 2889 Australia non-atheist 2012
## 2890 Australia non-atheist 2012
## 2891 Australia non-atheist 2012
## 2892 Australia non-atheist 2012
## 2893 Australia non-atheist 2012
## 2894 Australia non-atheist 2012
## 2895 Australia non-atheist 2012
## 2896 Australia non-atheist 2012
## 2897 Australia non-atheist 2012
## 2898 Australia non-atheist 2012
## 2899 Australia atheist 2012
## 2900 Australia non-atheist 2012
## 2901 Australia non-atheist 2012
## 2902 Australia non-atheist 2012
## 2903 Australia non-atheist 2012
## 2904 Australia non-atheist 2012
## 2905 Australia non-atheist 2012
## 2906 Australia non-atheist 2012
## 2907 Australia atheist 2012
## 2908 Australia non-atheist 2012
## 2909 Australia non-atheist 2012
## 2910 Australia non-atheist 2012
## 2911 Australia non-atheist 2012
## 2912 Australia non-atheist 2012
## 2913 Australia non-atheist 2012
## 2914 Australia non-atheist 2012
## 2915 Australia non-atheist 2012
## 2916 Australia non-atheist 2012
## 2917 Australia non-atheist 2012
## 2918 Australia non-atheist 2012
## 2919 Australia non-atheist 2012
## 2920 Australia non-atheist 2012
## 2921 Australia non-atheist 2012
## 2922 Australia non-atheist 2012
## 2923 Australia non-atheist 2012
## 2924 Australia non-atheist 2012
## 2925 Australia atheist 2012
## 2926 Australia non-atheist 2012
## 2927 Australia atheist 2012
## 2928 Australia non-atheist 2012
## 2929 Australia atheist 2012
## 2930 Australia non-atheist 2012
## 2931 Australia non-atheist 2012
## 2932 Australia atheist 2012
## 2933 Australia non-atheist 2012
## 2934 Australia non-atheist 2012
## 2935 Australia atheist 2012
## 2936 Australia non-atheist 2012
## 2937 Australia non-atheist 2012
## 2938 Australia non-atheist 2012
## 2939 Australia atheist 2012
## 2940 Australia non-atheist 2012
## 2941 Australia non-atheist 2012
## 2942 Australia non-atheist 2012
## 2943 Australia non-atheist 2012
## 2944 Australia non-atheist 2012
## 2945 Australia non-atheist 2012
## 2946 Australia non-atheist 2012
## 2947 Australia non-atheist 2012
## 2948 Australia non-atheist 2012
## 2949 Australia non-atheist 2012
## 2950 Australia non-atheist 2012
## 2951 Australia non-atheist 2012
## 2952 Australia non-atheist 2012
## 2953 Australia atheist 2012
## 2954 Australia non-atheist 2012
## 2955 Australia non-atheist 2012
## 2956 Australia atheist 2012
## 2957 Australia atheist 2012
## 2958 Australia non-atheist 2012
## 2959 Australia non-atheist 2012
## 2960 Australia non-atheist 2012
## 2961 Australia non-atheist 2012
## 2962 Australia non-atheist 2012
## 2963 Australia non-atheist 2012
## 2964 Australia non-atheist 2012
## 2965 Australia non-atheist 2012
## 2966 Australia non-atheist 2012
## 2967 Australia non-atheist 2012
## 2968 Australia non-atheist 2012
## 2969 Australia atheist 2012
## 2970 Australia non-atheist 2012
## 2971 Australia non-atheist 2012
## 2972 Australia non-atheist 2012
## 2973 Australia atheist 2012
## 2974 Australia atheist 2012
## 2975 Australia non-atheist 2012
## 2976 Australia non-atheist 2012
## 2977 Australia non-atheist 2012
## 2978 Australia non-atheist 2012
## 2979 Australia non-atheist 2012
## 2980 Australia non-atheist 2012
## 2981 Australia non-atheist 2012
## 2982 Australia atheist 2012
## 2983 Australia non-atheist 2012
## 2984 Australia non-atheist 2012
## 2985 Australia non-atheist 2012
## 2986 Australia non-atheist 2012
## 2987 Australia non-atheist 2012
## 2988 Australia non-atheist 2012
## 2989 Australia non-atheist 2012
## 2990 Australia non-atheist 2012
## 2991 Australia non-atheist 2012
## 2992 Australia atheist 2012
## 2993 Australia non-atheist 2012
## 2994 Australia non-atheist 2012
## 2995 Australia atheist 2012
## 2996 Australia non-atheist 2012
## 2997 Australia non-atheist 2012
## 2998 Australia non-atheist 2012
## 2999 Australia non-atheist 2012
## 3000 Australia non-atheist 2012
## 3001 Australia non-atheist 2012
## 3002 Australia atheist 2012
## 3003 Australia non-atheist 2012
## 3004 Australia non-atheist 2012
## 3005 Australia non-atheist 2012
## 3006 Australia non-atheist 2012
## 3007 Australia non-atheist 2012
## 3008 Australia non-atheist 2012
## 3009 Australia non-atheist 2012
## 3010 Australia non-atheist 2012
## 3011 Australia non-atheist 2012
## 3012 Australia non-atheist 2012
## 3013 Australia non-atheist 2012
## 3014 Australia non-atheist 2012
## 3015 Australia non-atheist 2012
## 3016 Australia non-atheist 2012
## 3017 Australia non-atheist 2012
## 3018 Australia non-atheist 2012
## 3019 Australia non-atheist 2012
## 3020 Australia atheist 2012
## 3021 Australia atheist 2012
## 3022 Australia non-atheist 2012
## 3023 Australia non-atheist 2012
## 3024 Australia non-atheist 2012
## 3025 Australia non-atheist 2012
## 3026 Australia non-atheist 2012
## 3027 Australia non-atheist 2012
## 3028 Australia atheist 2012
## 3029 Australia non-atheist 2012
## 3030 Australia atheist 2012
## 3031 Australia non-atheist 2012
## 3032 Australia non-atheist 2012
## 3033 Australia non-atheist 2012
## 3034 Australia non-atheist 2012
## 3035 Australia non-atheist 2012
## 3036 Australia atheist 2012
## 3037 Australia non-atheist 2012
## 3038 Australia non-atheist 2012
## 3039 Australia non-atheist 2012
## 3040 Australia non-atheist 2012
## 3041 Australia non-atheist 2012
## 3042 Australia non-atheist 2012
## 3043 Australia non-atheist 2012
## 3044 Australia non-atheist 2012
## 3045 Australia non-atheist 2012
## 3046 Australia non-atheist 2012
## 3047 Australia non-atheist 2012
## 3048 Australia non-atheist 2012
## 3049 Australia non-atheist 2012
## 3050 Australia non-atheist 2012
## 3051 Australia non-atheist 2012
## 3052 Australia non-atheist 2012
## 3053 Australia non-atheist 2012
## 3054 Australia non-atheist 2012
## 3055 Australia non-atheist 2012
## 3056 Australia non-atheist 2012
## 3057 Australia atheist 2012
## 3058 Australia non-atheist 2012
## 3059 Australia non-atheist 2012
## 3060 Australia non-atheist 2012
## 3061 Australia non-atheist 2012
## 3062 Australia non-atheist 2012
## 3063 Australia non-atheist 2012
## 3064 Australia non-atheist 2012
## 3065 Australia non-atheist 2012
## 3066 Australia non-atheist 2012
## 3067 Australia non-atheist 2012
## 3068 Australia non-atheist 2012
## 3069 Australia non-atheist 2012
## 3070 Australia non-atheist 2012
## 3071 Australia non-atheist 2012
## 3072 Australia non-atheist 2012
## 3073 Australia non-atheist 2012
## 3074 Australia non-atheist 2012
## 3075 Australia non-atheist 2012
## 3076 Australia non-atheist 2012
## 3077 Australia non-atheist 2012
## 3078 Australia atheist 2012
## 3079 Australia non-atheist 2012
## 3080 Australia non-atheist 2012
## 3081 Australia non-atheist 2012
## 3082 Australia non-atheist 2012
## 3083 Australia non-atheist 2012
## 3084 Australia atheist 2012
## 3085 Australia non-atheist 2012
## 3086 Australia non-atheist 2012
## 3087 Australia non-atheist 2012
## 3088 Australia non-atheist 2012
## 3089 Australia non-atheist 2012
## 3090 Australia non-atheist 2012
## 3091 Australia atheist 2012
## 3092 Australia non-atheist 2012
## 3093 Australia non-atheist 2012
## 3094 Australia non-atheist 2012
## 3095 Australia non-atheist 2012
## 3096 Australia non-atheist 2012
## 3097 Australia non-atheist 2012
## 3098 Australia non-atheist 2012
## 3099 Australia non-atheist 2012
## 3100 Australia non-atheist 2012
## 3101 Australia non-atheist 2012
## 3102 Australia non-atheist 2012
## 3103 Australia atheist 2012
## 3104 Australia non-atheist 2012
## 3105 Australia non-atheist 2012
## 3106 Australia non-atheist 2012
## 3107 Australia non-atheist 2012
## 3108 Australia non-atheist 2012
## 3109 Australia non-atheist 2012
## 3110 Australia non-atheist 2012
## 3111 Australia non-atheist 2012
## 3112 Australia non-atheist 2012
## 3113 Australia non-atheist 2012
## 3114 Australia non-atheist 2012
## 3115 Australia non-atheist 2012
## 3116 Australia non-atheist 2012
## 3117 Australia non-atheist 2012
## 3118 Australia non-atheist 2012
## 3119 Australia non-atheist 2012
## 3120 Australia non-atheist 2012
## 3121 Australia non-atheist 2012
## 3122 Australia non-atheist 2012
## 3123 Australia non-atheist 2012
## 3124 Australia non-atheist 2012
## 3125 Australia non-atheist 2012
## 3126 Australia non-atheist 2012
## 3127 Australia non-atheist 2012
## 3128 Australia non-atheist 2012
## 3129 Australia non-atheist 2012
## 3130 Australia non-atheist 2012
## 3131 Australia non-atheist 2012
## 3132 Australia non-atheist 2012
## 3133 Australia non-atheist 2012
## 3134 Australia non-atheist 2012
## 3135 Australia non-atheist 2012
## 3136 Australia non-atheist 2012
## 3137 Australia non-atheist 2012
## 3138 Australia non-atheist 2012
## 3139 Australia non-atheist 2012
## 3140 Australia non-atheist 2012
## 3141 Australia non-atheist 2012
## 3142 Australia non-atheist 2012
## 3143 Australia non-atheist 2012
## 3144 Australia non-atheist 2012
## 3145 Australia non-atheist 2012
## 3146 Australia non-atheist 2012
## 3147 Australia non-atheist 2012
## 3148 Australia non-atheist 2012
## 3149 Australia non-atheist 2012
## 3150 Australia non-atheist 2012
## 3151 Australia non-atheist 2012
## 3152 Australia non-atheist 2012
## 3153 Australia non-atheist 2012
## 3154 Australia non-atheist 2012
## 3155 Australia non-atheist 2012
## 3156 Australia non-atheist 2012
## 3157 Australia non-atheist 2012
## 3158 Australia non-atheist 2012
## 3159 Australia non-atheist 2012
## 3160 Australia non-atheist 2012
## 3161 Australia non-atheist 2012
## 3162 Australia non-atheist 2012
## 3163 Australia non-atheist 2012
## 3164 Australia non-atheist 2012
## 3165 Australia non-atheist 2012
## 3166 Australia non-atheist 2012
## 3167 Australia non-atheist 2012
## 3168 Australia non-atheist 2012
## 3169 Australia non-atheist 2012
## 3170 Australia non-atheist 2012
## 3171 Australia non-atheist 2012
## 3172 Australia non-atheist 2012
## 3173 Australia non-atheist 2012
## 3174 Australia non-atheist 2012
## 3175 Australia non-atheist 2012
## 3176 Australia non-atheist 2012
## 3177 Australia non-atheist 2012
## 3178 Australia non-atheist 2012
## 3179 Australia non-atheist 2012
## 3180 Australia non-atheist 2012
## 3181 Australia atheist 2012
## 3182 Australia non-atheist 2012
## 3183 Australia non-atheist 2012
## 3184 Australia atheist 2012
## 3185 Australia non-atheist 2012
## 3186 Australia non-atheist 2012
## 3187 Australia atheist 2012
## 3188 Australia atheist 2012
## 3189 Australia non-atheist 2012
## 3190 Australia non-atheist 2012
## 3191 Australia non-atheist 2012
## 3192 Australia non-atheist 2012
## 3193 Australia non-atheist 2012
## 3194 Australia non-atheist 2012
## 3195 Australia atheist 2012
## 3196 Australia non-atheist 2012
## 3197 Australia non-atheist 2012
## 3198 Australia non-atheist 2012
## 3199 Australia non-atheist 2012
## 3200 Australia non-atheist 2012
## 3201 Australia atheist 2012
## 3202 Australia non-atheist 2012
## 3203 Australia non-atheist 2012
## 3204 Australia non-atheist 2012
## 3205 Australia non-atheist 2012
## 3206 Australia non-atheist 2012
## 3207 Australia non-atheist 2012
## 3208 Australia non-atheist 2012
## 3209 Australia non-atheist 2012
## 3210 Australia non-atheist 2012
## 3211 Australia non-atheist 2012
## 3212 Australia non-atheist 2012
## 3213 Australia non-atheist 2012
## 3214 Australia non-atheist 2012
## 3215 Australia non-atheist 2012
## 3216 Australia non-atheist 2012
## 3217 Australia non-atheist 2012
## 3218 Australia non-atheist 2012
## 3219 Australia non-atheist 2012
## 3220 Australia atheist 2012
## 3221 Australia non-atheist 2012
## 3222 Australia non-atheist 2012
## 3223 Australia non-atheist 2012
## 3224 Australia non-atheist 2012
## 3225 Australia non-atheist 2012
## 3226 Australia non-atheist 2012
## 3227 Australia non-atheist 2012
## 3228 Australia atheist 2012
## 3229 Australia non-atheist 2012
## 3230 Australia non-atheist 2012
## 3231 Australia non-atheist 2012
## 3232 Australia non-atheist 2012
## 3233 Australia non-atheist 2012
## 3234 Australia non-atheist 2012
## 3235 Australia non-atheist 2012
## 3236 Australia non-atheist 2012
## 3237 Australia non-atheist 2012
## 3238 Australia non-atheist 2012
## 3239 Australia non-atheist 2012
## 3240 Australia non-atheist 2012
## 3241 Australia non-atheist 2012
## 3242 Australia atheist 2012
## 3243 Australia non-atheist 2012
## 3244 Australia non-atheist 2012
## 3245 Australia non-atheist 2012
## 3246 Australia non-atheist 2012
## 3247 Australia non-atheist 2012
## 3248 Australia non-atheist 2012
## 3249 Australia non-atheist 2012
## 3250 Australia atheist 2012
## 3251 Australia non-atheist 2012
## 3252 Australia non-atheist 2012
## 3253 Australia non-atheist 2012
## 3254 Australia non-atheist 2012
## 3255 Australia non-atheist 2012
## 3256 Australia non-atheist 2012
## 3257 Australia non-atheist 2012
## 3258 Australia non-atheist 2012
## 3259 Australia non-atheist 2012
## 3260 Australia non-atheist 2012
## 3261 Australia non-atheist 2012
## 3262 Australia non-atheist 2012
## 3263 Australia non-atheist 2012
## 3264 Australia non-atheist 2012
## 3265 Australia non-atheist 2012
## 3266 Australia atheist 2012
## 3267 Australia non-atheist 2012
## 3268 Australia non-atheist 2012
## 3269 Australia non-atheist 2012
## 3270 Australia non-atheist 2012
## 3271 Australia non-atheist 2012
## 3272 Australia non-atheist 2012
## 3273 Australia non-atheist 2012
## 3274 Australia non-atheist 2012
## 3275 Australia non-atheist 2012
## 3276 Australia non-atheist 2012
## 3277 Australia non-atheist 2012
## 3278 Australia non-atheist 2012
## 3279 Australia non-atheist 2012
## 3280 Australia non-atheist 2012
## 3281 Australia non-atheist 2012
## 3282 Australia non-atheist 2012
## 3283 Australia non-atheist 2012
## 3284 Australia non-atheist 2012
## 3285 Australia non-atheist 2012
## 3286 Australia non-atheist 2012
## 3287 Australia non-atheist 2012
## 3288 Australia non-atheist 2012
## 3289 Australia non-atheist 2012
## 3290 Australia atheist 2012
## 3291 Australia non-atheist 2012
## 3292 Australia non-atheist 2012
## 3293 Australia non-atheist 2012
## 3294 Australia non-atheist 2012
## 3295 Australia non-atheist 2012
## 3296 Australia non-atheist 2012
## 3297 Australia non-atheist 2012
## 3298 Australia non-atheist 2012
## 3299 Australia non-atheist 2012
## 3300 Australia non-atheist 2012
## 3301 Australia non-atheist 2012
## 3302 Australia non-atheist 2012
## 3303 Australia non-atheist 2012
## 3304 Australia non-atheist 2012
## 3305 Australia non-atheist 2012
## 3306 Australia non-atheist 2012
## 3307 Australia non-atheist 2012
## 3308 Australia non-atheist 2012
## 3309 Australia non-atheist 2012
## 3310 Australia atheist 2012
## 3311 Australia atheist 2012
## 3312 Australia non-atheist 2012
## 3313 Australia non-atheist 2012
## 3314 Australia non-atheist 2012
## 3315 Australia non-atheist 2012
## 3316 Australia non-atheist 2012
## 3317 Australia non-atheist 2012
## 3318 Australia atheist 2012
## 3319 Australia non-atheist 2012
## 3320 Australia non-atheist 2012
## 3321 Australia non-atheist 2012
## 3322 Australia non-atheist 2012
## 3323 Australia non-atheist 2012
## 3324 Australia non-atheist 2012
## 3325 Australia non-atheist 2012
## 3326 Australia non-atheist 2012
## 3327 Australia non-atheist 2012
## 3328 Australia non-atheist 2012
## 3329 Australia non-atheist 2012
## 3330 Australia non-atheist 2012
## 3331 Australia non-atheist 2012
## 3332 Australia non-atheist 2012
## 3333 Australia non-atheist 2012
## 3334 Australia atheist 2012
## 3335 Australia non-atheist 2012
## 3336 Australia non-atheist 2012
## 3337 Australia non-atheist 2012
## 3338 Australia atheist 2012
## 3339 Australia non-atheist 2012
## 3340 Australia non-atheist 2012
## 3341 Australia non-atheist 2012
## 3342 Australia non-atheist 2012
## 3343 Australia non-atheist 2012
## 3344 Australia atheist 2012
## 3345 Australia non-atheist 2012
## 3346 Australia non-atheist 2012
## 3347 Australia non-atheist 2012
## 3348 Australia non-atheist 2012
## 3349 Australia non-atheist 2012
## 3350 Australia non-atheist 2012
## 3351 Australia non-atheist 2012
## 3352 Australia non-atheist 2012
## 3353 Australia non-atheist 2012
## 3354 Australia non-atheist 2012
## 3355 Australia atheist 2012
## 3356 Australia non-atheist 2012
## 3357 Australia non-atheist 2012
## 3358 Australia non-atheist 2012
## 3359 Australia non-atheist 2012
## 3360 Australia non-atheist 2012
## 3361 Australia non-atheist 2012
## 3362 Australia non-atheist 2012
## 3363 Australia non-atheist 2012
## 3364 Australia non-atheist 2012
## 3365 Australia atheist 2012
## 3366 Australia non-atheist 2012
## 3367 Australia atheist 2012
## 3368 Australia non-atheist 2012
## 3369 Australia non-atheist 2012
## 3370 Australia non-atheist 2012
## 3371 Australia non-atheist 2012
## 3372 Australia non-atheist 2012
## 3373 Australia atheist 2012
## 3374 Australia non-atheist 2012
## 3375 Australia non-atheist 2012
## 3376 Australia non-atheist 2012
## 3377 Australia non-atheist 2012
## 3378 Australia non-atheist 2012
## 3379 Australia non-atheist 2012
## 3380 Australia non-atheist 2012
## 3381 Australia non-atheist 2012
## 3382 Australia non-atheist 2012
## 3383 Australia non-atheist 2012
## 3384 Australia non-atheist 2012
## 3385 Australia non-atheist 2012
## 3386 Australia non-atheist 2012
## 3387 Australia non-atheist 2012
## 3388 Australia non-atheist 2012
## 3389 Australia atheist 2012
## 3390 Australia non-atheist 2012
## 3391 Australia atheist 2012
## 3392 Australia non-atheist 2012
## 3393 Australia non-atheist 2012
## 3394 Australia non-atheist 2012
## 3395 Australia atheist 2012
## 3396 Australia atheist 2012
## 3397 Australia non-atheist 2012
## 3398 Australia non-atheist 2012
## 3399 Australia non-atheist 2012
## 3400 Australia non-atheist 2012
## 3401 Australia non-atheist 2012
## 3402 Australia non-atheist 2012
## 3403 Australia non-atheist 2012
## 3404 Australia atheist 2012
## 3405 Australia non-atheist 2012
## 3406 Australia non-atheist 2012
## 3407 Australia atheist 2012
## 3408 Australia non-atheist 2012
## 3409 Australia non-atheist 2012
## 3410 Australia non-atheist 2012
## 3411 Australia non-atheist 2012
## 3412 Australia non-atheist 2012
## 3413 Australia non-atheist 2012
## 3414 Australia non-atheist 2012
## 3415 Australia non-atheist 2012
## 3416 Australia non-atheist 2012
## 3417 Australia non-atheist 2012
## 3418 Australia non-atheist 2012
## 3419 Australia non-atheist 2012
## 3420 Australia non-atheist 2012
## 3421 Australia non-atheist 2012
## 3422 Australia non-atheist 2012
## 3423 Australia non-atheist 2012
## 3424 Australia non-atheist 2012
## 3425 Australia non-atheist 2012
## 3426 Australia atheist 2012
## 3427 Australia non-atheist 2012
## 3428 Australia non-atheist 2012
## 3429 Australia non-atheist 2012
## 3430 Australia non-atheist 2012
## 3431 Australia non-atheist 2012
## 3432 Australia non-atheist 2012
## 3433 Australia non-atheist 2012
## 3434 Australia non-atheist 2012
## 3435 Australia non-atheist 2012
## 3436 Australia non-atheist 2012
## 3437 Australia non-atheist 2012
## 3438 Australia non-atheist 2012
## 3439 Australia non-atheist 2012
## 3440 Australia non-atheist 2012
## 3441 Australia non-atheist 2012
## 3442 Australia non-atheist 2012
## 3443 Australia non-atheist 2012
## 3444 Australia non-atheist 2012
## 3445 Australia non-atheist 2012
## 3446 Australia atheist 2012
## 3447 Australia non-atheist 2012
## 3448 Australia non-atheist 2012
## 3449 Australia non-atheist 2012
## 3450 Australia non-atheist 2012
## 3451 Australia non-atheist 2012
## 3452 Australia non-atheist 2012
## 3453 Australia non-atheist 2012
## 3454 Australia atheist 2012
## 3455 Australia non-atheist 2012
## 3456 Australia non-atheist 2012
## 3457 Australia non-atheist 2012
## 3458 Australia non-atheist 2012
## 3459 Australia non-atheist 2012
## 3460 Australia non-atheist 2012
## 3461 Australia non-atheist 2012
## 3462 Australia non-atheist 2012
## 3463 Australia non-atheist 2012
## 3464 Australia non-atheist 2012
## 3465 Australia non-atheist 2012
## 3466 Australia non-atheist 2012
## 3467 Australia non-atheist 2012
## 3468 Australia non-atheist 2012
## 3469 Australia atheist 2012
## 3470 Australia non-atheist 2012
## 3471 Australia non-atheist 2012
## 3472 Australia non-atheist 2012
## 3473 Australia non-atheist 2012
## 3474 Australia non-atheist 2012
## 3475 Australia non-atheist 2012
## 3476 Australia atheist 2012
## 3477 Australia non-atheist 2012
## 3478 Australia non-atheist 2012
## 3479 Australia non-atheist 2012
## 3480 Australia non-atheist 2012
## 3481 Australia non-atheist 2012
## 3482 Australia non-atheist 2012
## 3483 Australia non-atheist 2012
## 3484 Australia non-atheist 2012
## 3485 Australia non-atheist 2012
## 3486 Australia non-atheist 2012
## 3487 Australia non-atheist 2012
## 3488 Australia non-atheist 2012
## 3489 Australia non-atheist 2012
## 3490 Australia non-atheist 2012
## 3491 Australia non-atheist 2012
## 3492 Australia non-atheist 2012
## 3493 Australia non-atheist 2012
## 3494 Australia non-atheist 2012
## 3495 Australia non-atheist 2012
## 3496 Australia atheist 2012
## 3497 Australia non-atheist 2012
## 3498 Australia non-atheist 2012
## 3499 Australia non-atheist 2012
## 3500 Australia atheist 2012
## 3501 Australia non-atheist 2012
## 3502 Australia non-atheist 2012
## 3503 Australia non-atheist 2012
## 3504 Australia non-atheist 2012
## 3505 Australia non-atheist 2012
## 3506 Australia non-atheist 2012
## 3507 Australia non-atheist 2012
## 3508 Australia non-atheist 2012
## 3509 Australia non-atheist 2012
## 3510 Australia non-atheist 2012
## 3511 Australia non-atheist 2012
## 3512 Australia non-atheist 2012
## 3513 Australia non-atheist 2012
## 3514 Australia atheist 2012
## 3515 Australia non-atheist 2012
## 3516 Australia non-atheist 2012
## 3517 Australia non-atheist 2012
## 3518 Australia non-atheist 2012
## 3519 Australia non-atheist 2012
## 3520 Australia non-atheist 2012
## 3521 Australia non-atheist 2012
## 3522 Australia non-atheist 2012
## 3523 Australia non-atheist 2012
## 3524 Australia non-atheist 2012
## 3525 Australia non-atheist 2012
## 3526 Australia non-atheist 2012
## 3527 Australia non-atheist 2012
## 3528 Australia non-atheist 2012
## 3529 Australia non-atheist 2012
## 3530 Australia non-atheist 2012
## 3531 Australia non-atheist 2012
## 3532 Australia non-atheist 2012
## 3533 Australia non-atheist 2012
## 3534 Australia non-atheist 2012
## 3535 Australia non-atheist 2012
## 3536 Australia non-atheist 2012
## 3537 Australia non-atheist 2012
## 3538 Australia non-atheist 2012
## 3539 Australia non-atheist 2012
## 3540 Australia non-atheist 2012
## 3541 Australia atheist 2012
## 3542 Australia non-atheist 2012
## 3543 Australia non-atheist 2012
## 3544 Australia atheist 2012
## 3545 Australia non-atheist 2012
## 3546 Australia atheist 2012
## 3547 Australia non-atheist 2012
## 3548 Australia atheist 2012
## 3549 Australia non-atheist 2012
## 3550 Australia non-atheist 2012
## 3551 Australia non-atheist 2012
## 3552 Australia non-atheist 2012
## 3553 Australia non-atheist 2012
## 3554 Australia non-atheist 2012
## 3555 Australia atheist 2012
## 3556 Australia non-atheist 2012
par(mfrow=c(1,2))
#Australia
#interplay between n ad p
#5,000 samples of size 1040 from a population with a true atheist proportion of 0.1
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.1
n <- 1040
p_hats <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilityes p and 1-p.
p_hats[i] <- sum(samp == "atheist")/n #Caculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hats, main = "p = 0.1, n = 1040", xlim = c(0, 0.18))
#Ecuador
#interplay between n ad p
#5,000 samples of size 400 from a population with a true atheist proportion of 0.02
#For each of the 5,000 samples, compute p and then plot a histogram to visualize their distribution
p <- 0.02
n <- 400
p_hatse <- rep(0, 5000)
for(i in 1:5000){ #build the sampling distribution of p^ using the for loop
samp <- sample(c("atheist", "non_atheist"), n, replace = TRUE, prob = c(p, 1-p)) #take a sample of size n with replacement from the choices
#of atheist and non with probabilities p and 1-p.
p_hatse[i] <- sum(samp == "atheist")/n #Calculate the proportion of atheists in this sample and
#record this value. Loop allows us to repeat 5,000 times
#to build a good representation of the sampling distrib.
}
hist(p_hatse, main = "p = 0.02, n = 400", xlim = c(0, 0.18))par(mfrow = c(1, 1))#calculate proportion of atheist responses
#get number of atheists in Australia
australia_atheist <- nrow (australia12[australia12$response =="atheist",])
australia_atheist## [1] 104
#calculate proportion of atheist responses
#get number of atheists in Ecuador
ecuador_atheist <- nrow (ecuador12[ecuador12$response =="atheist",])
ecuador_atheist## [1] 8
#calculate proportion of non-atheist responses
#get number of non-atheists in Australia
australia_non_atheist <- nrow (australia12[australia12$response =="non-atheist",])
australia_non_atheist## [1] 935
#calculate proportion of non-atheist responses
#get number of non-atheists in Ecuador
ecuador_non_atheist <- nrow (ecuador12[ecuador12$response =="non-atheist",])
ecuador_non_atheist## [1] 396
#calculate proportion of atheist responses_Australia
#get number of Australia rows
australia_rows <- nrow(australia12)
australia_rows## [1] 1039
#calculate proportion of atheist responses_Australia
australia_atheist/australia_rows## [1] 0.1000962
#calculate proportion of non-atheist responses_Australia
australia_non_atheist/australia_rows## [1] 0.8999038
#calculate proportion of atheist responses_Ecuador
#get number of Ecuador rows
ecuador_rows <- nrow(ecuador12)
ecuador_rows## [1] 404
#calculate proportion of atheist responses_Ecuador
ecuador_atheist/ecuador_rows## [1] 0.01980198
#calculate proportion of non-atheist responses_Ecuador
ecuador_non_atheist/ecuador_rows## [1] 0.980198
#Success/Fail Calculation: Australia atheist
australia_rows * (australia_atheist/australia_rows)## [1] 104
#Success/Fail Calculation: Australia non-atheist
australia_rows * (australia_non_atheist/australia_rows)## [1] 935
#Success/Fail Calculation: Ecuador atheist
ecuador_rows * (ecuador_atheist/ecuador_rows)## [1] 8
#Success/Fail Calculation: Ecuador non-atheist
ecuador_rows * (ecuador_non_atheist/ecuador_rows)## [1] 396
summary(p_hats)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.06827 0.09423 0.10000 0.10006 0.10673 0.14423
summary(p_hatse)## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.00250 0.01500 0.02000 0.01992 0.02500 0.05000
#Mean Error - Australia
p <- 0.1
n <- 1040
me <- 2* sqrt(p*(1-p)/n)
me## [1] 0.01860521
#Mean Error - Australia
p <- 0.02
n <- 400
me <- 2* sqrt(p*(1-p)/n)
me## [1] 0.014
#Spread Calculations: Australia
#Variance
var(p_hats) ## [1] 8.570617e-05
#Standard Deviation
sd(p_hats) ## [1] 0.009257763
#IQR
IQR(p_hats)## [1] 0.0125
#Spread Calculations: Ecuador
#Variance
var(p_hatse) ## [1] 5.091495e-05
#Standard Deviation
sd(p_hatse) ## [1] 0.007135471
#IQR
IQR(p_hatse)## [1] 0.01
#plot margin of error Australia and Ecuador
#Australia
#Margin of Error (Australia and Ecuador)
#Australia
p <- 0.1
n <- 1040
me<- 2 * sqrt(p*(1-p)/n)
me## [1] 0.01860521
#plot margin of error Australia and Ecuador
#Australia
n <- seq(0,1039,1)
p <- 0.1
me<- 2 * sqrt(p*(1-p)/n)
plot(me ~ n, ylab = "Margin of Error - Australia", xlab = "N")#plot margin of error Australia and Ecuador
#Ecuador
n <- seq(0,404,1)
p <- 0.02
me<- 2 * sqrt(p*(1-p)/n)
plot(me ~ n, ylab = "Margin of Error - Ecuador", xlab = "N")#plot margin of error Australia and Ecuador
#Australia
#setting both p values at .5 to test
n <- seq(0,1039,1)
p <- 0.5
me<- 2 * sqrt(p*(1-p)/n)
plot(me ~ n, ylab = "Margin of Error - Australia", xlab = "N")#plot margin of error Australia and Ecuador
#Ecuador
#setting both p values at .5 to test
n <- seq(0,404,1)
p <- 0.5
me<- 2 * sqrt(p*(1-p)/n)
plot(me ~ n, ylab = "Margin of Error - Ecuador", xlab = "N")