Not Insured Insured
Asian 11 59
Black 20 86
Other 17 46
White 91 670

2. Methods:

What methods are you going to use to answer the research question? State your chosen method and check ALL assumptions (if you are using the normal distribution).

Answer: Chi-Squared Test;

Assumptions: Independence - subjects are independent; one person’s response does not impact another person’s response. The expected count in each cell are greater than or equal to 5. H0 = There is No relationship between those who do or do not have insurance and their self-reported race HA = There is a relationship between those who do or do not have insurance and their self-reported race

3. Results: State the results of your analysis.

  1. What was the test-statistic? Answer: X-squared = 13.788, df = 3, p-value = 0.003208

  2. What was the p-value? Answer: p-value = 0.003208

  3. Interpret your results in the context of the problem (i.e., in a way that a non-statistician could understand). Include relevant tables AND figures.

## 
##  Pearson's Chi-squared test
## 
## data:  tab
## X-squared = 13.788, df = 3, p-value = 0.003208
##        HealthInsurance
## Race    Not Insured Insured
##   Asian       9.730  60.270
##   Black      14.734  91.266
##   Other       8.757  54.243
##   White     105.779 655.221
## [1] 0.003207661
## [1] 0.003208394

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.