In the wake of the Great Recession of 2009, there has been a good deal of focus on employment statistics, one of the most important metrics policymakers use to gauge the overall strength of the economy. In the United States, the government measures unemployment using the Current Population Survey (CPS), which collects demographic and employment information from a wide range of Americans each month. In this exercise, we will employ the topics reviewed in the lectures as well as a few new techniques using the September 2013 version of this rich, nationally representative dataset (available online).

The observations in the dataset represent people surveyed in the September 2013 CPS who actually completed a survey. While the full dataset has 385 variables, in this exercise we will use a more compact version of the dataset, CPSData.csv, which has the following variables:

PeopleInHousehold: The number of people in the interviewee’s household.

Region: The census region where the interviewee lives.

State: The state where the interviewee lives.

MetroAreaCode: A code that identifies the metropolitan area in which the interviewee lives (missing if the interviewee does not live in a metropolitan area). The mapping from codes to names of metropolitan areas is provided in the file MetroAreaCodes.csv.

Age: The age, in years, of the interviewee. 80 represents people aged 80-84, and 85 represents people aged 85 and higher.

Married: The marriage status of the interviewee.

Sex: The sex of the interviewee.

Education: The maximum level of education obtained by the interviewee.

Race: The race of the interviewee.

Hispanic: Whether the interviewee is of Hispanic ethnicity.

CountryOfBirthCode: A code identifying the country of birth of the interviewee. The mapping from codes to names of countries is provided in the file CountryCodes.csv.

Citizenship: The United States citizenship status of the interviewee.

EmploymentStatus: The status of employment of the interviewee.

Industry: The industry of employment of the interviewee (only available if they are employed).

Section 1 - Loading and Summarizing the Dataset

1.1

Load the dataset from CPSData.csv into a data frame called CPS, and view the dataset with the summary() and str() commands. 131302

CPS=CPSData
summary(CPS)
 PeopleInHousehold    Region             State           MetroAreaCode        Age       
 Min.   : 1.000    Length:131302      Length:131302      Min.   :10420   Min.   : 0.00  
 1st Qu.: 2.000    Class :character   Class :character   1st Qu.:21780   1st Qu.:19.00  
 Median : 3.000    Mode  :character   Mode  :character   Median :34740   Median :39.00  
 Mean   : 3.284                                          Mean   :35075   Mean   :38.83  
 3rd Qu.: 4.000                                          3rd Qu.:41860   3rd Qu.:57.00  
 Max.   :15.000                                          Max.   :79600   Max.   :85.00  
                                                         NA's   :34238                  
   Married              Sex             Education             Race          
 Length:131302      Length:131302      Length:131302      Length:131302     
 Class :character   Class :character   Class :character   Class :character  
 Mode  :character   Mode  :character   Mode  :character   Mode  :character  
                                                                            
                                                                            
                                                                            
                                                                            
    Hispanic      CountryOfBirthCode Citizenship        EmploymentStatus  
 Min.   :0.0000   Min.   : 57.00     Length:131302      Length:131302     
 1st Qu.:0.0000   1st Qu.: 57.00     Class :character   Class :character  
 Median :0.0000   Median : 57.00     Mode  :character   Mode  :character  
 Mean   :0.1393   Mean   : 82.68                                          
 3rd Qu.:0.0000   3rd Qu.: 57.00                                          
 Max.   :1.0000   Max.   :555.00                                          
                                                                          
   Industry        
 Length:131302     
 Class :character  
 Mode  :character  
                   
                   
                   
                   
str(CPS)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   131302 obs. of  14 variables:
 $ PeopleInHousehold : int  1 3 3 3 3 3 3 2 2 2 ...
 $ Region            : chr  "South" "South" "South" "South" ...
 $ State             : chr  "Alabama" "Alabama" "Alabama" "Alabama" ...
 $ MetroAreaCode     : int  26620 13820 13820 13820 26620 26620 26620 33660 33660 26620 ...
 $ Age               : int  85 21 37 18 52 24 26 71 43 52 ...
 $ Married           : chr  "Widowed" "Never Married" "Never Married" "Never Married" ...
 $ Sex               : chr  "Female" "Male" "Female" "Male" ...
 $ Education         : chr  "Associate degree" "High school" "High school" "No high school diploma" ...
 $ Race              : chr  "White" "Black" "Black" "Black" ...
 $ Hispanic          : int  0 0 0 0 0 0 0 0 0 0 ...
 $ CountryOfBirthCode: int  57 57 57 57 57 57 57 57 57 57 ...
 $ Citizenship       : chr  "Citizen, Native" "Citizen, Native" "Citizen, Native" "Citizen, Native" ...
 $ EmploymentStatus  : chr  "Retired" "Unemployed" "Disabled" "Not in Labor Force" ...
 $ Industry          : chr  NA "Professional and business services" NA NA ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 14
  .. ..$ PeopleInHousehold : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Region            : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ State             : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ MetroAreaCode     : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Age               : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Married           : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Sex               : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Education         : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Race              : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Hispanic          : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ CountryOfBirthCode: list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Citizenship       : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ EmploymentStatus  : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ Industry          : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"

1.2

Among the interviewees with a value reported for the Industry variable, what is the most common industry of employment? Please enter the name exactly how you see it.

table(CPS$Industry)

Agriculture, forestry, fishing, and hunting                                Armed forces 
                                       1307                                          29 
                               Construction             Educational and health services 
                                       4387                                       15017 
                                  Financial                                 Information 
                                       4347                                        1328 
                    Leisure and hospitality                               Manufacturing 
                                       6364                                        6791 
                                     Mining                              Other services 
                                        550                                        3224 
         Professional and business services                       Public administration 
                                       7519                                        3186 
                                      Trade                Transportation and utilities 
                                       8933                                        3260 

1.3

Recall from the homework assignment “The Analytical Detective” that you can call the sort() function on the output of the table() function to obtain a sorted breakdown of a variable. For instance, sort(table(CPS$Region)) sorts the regions by the number of interviewees from that region.

Which state has the fewest interviewees? New Mexico

sort(table(CPS$State))

          New Mexico              Montana          Mississippi              Alabama 
                1102                 1214                 1230                 1376 
       West Virginia             Arkansas            Louisiana                Idaho 
                1409                 1421                 1450                 1518 
            Oklahoma              Arizona               Alaska              Wyoming 
                1523                 1528                 1590                 1624 
        North Dakota       South Carolina            Tennessee District of Columbia 
                1645                 1658                 1784                 1791 
            Kentucky                 Utah               Nevada              Vermont 
                1841                 1842                 1856                 1890 
              Kansas               Oregon             Nebraska        Massachusetts 
                1935                 1943                 1949                 1987 
        South Dakota              Indiana               Hawaii             Missouri 
                2000                 2004                 2099                 2145 
        Rhode Island             Delaware                Maine           Washington 
                2209                 2214                 2263                 2366 
                Iowa           New Jersey       North Carolina        New Hampshire 
                2528                 2567                 2619                 2662 
           Wisconsin              Georgia          Connecticut             Colorado 
                2686                 2807                 2836                 2925 
            Virginia             Michigan            Minnesota             Maryland 
                2953                 3063                 3139                 3200 
                Ohio             Illinois         Pennsylvania              Florida 
                3678                 3912                 3930                 5149 
            New York                Texas           California 
                5595                 7077                11570 

Which state has the largest number of interviewees? California

1.4

What proportion of interviewees are citizens of the United States?

116639/131302
[1] 0.8883261

1.5

The CPS differentiates between race (with possible values American Indian, Asian, Black, Pacific Islander, White, or Multiracial) and ethnicity. A number of interviewees are of Hispanic ethnicity, as captured by the Hispanic variable. For which races are there at least 250 interviewees in the CPS dataset of Hispanic ethnicity? (Select all that apply.)

  • American Indian
  • Asian
  • Black
  • Multiracial
  • Pacific Islander
  • White

Section 2 - Evaluating Missing Values

2.1

Which variables have at least one interviewee with a missing (NA) value? (Select all that apply.)

  • PeopleInHousehold
  • Region
  • State
  • MetroAreaCode
  • Age
  • Married
  • Sex
  • Education
  • Race
  • Hispanic
  • CountryOfBirthCode
  • Citizenship
  • EmploymentStatus
  • Industry
summary(CPS)
 PeopleInHousehold    Region             State           MetroAreaCode        Age       
 Min.   : 1.000    Length:131302      Length:131302      Min.   :10420   Min.   : 0.00  
 1st Qu.: 2.000    Class :character   Class :character   1st Qu.:21780   1st Qu.:19.00  
 Median : 3.000    Mode  :character   Mode  :character   Median :34740   Median :39.00  
 Mean   : 3.284                                          Mean   :35075   Mean   :38.83  
 3rd Qu.: 4.000                                          3rd Qu.:41860   3rd Qu.:57.00  
 Max.   :15.000                                          Max.   :79600   Max.   :85.00  
                                                         NA's   :34238                  
   Married              Sex             Education             Race          
 Length:131302      Length:131302      Length:131302      Length:131302     
 Class :character   Class :character   Class :character   Class :character  
 Mode  :character   Mode  :character   Mode  :character   Mode  :character  
                                                                            
                                                                            
                                                                            
                                                                            
    Hispanic      CountryOfBirthCode Citizenship        EmploymentStatus  
 Min.   :0.0000   Min.   : 57.00     Length:131302      Length:131302     
 1st Qu.:0.0000   1st Qu.: 57.00     Class :character   Class :character  
 Median :0.0000   Median : 57.00     Mode  :character   Mode  :character  
 Mean   :0.1393   Mean   : 82.68                                          
 3rd Qu.:0.0000   3rd Qu.: 57.00                                          
 Max.   :1.0000   Max.   :555.00                                          
                                                                          
   Industry        
 Length:131302     
 Class :character  
 Mode  :character  
                   
                   
                   
                   

2.2

Often when evaluating a new dataset, we try to identify if there is a pattern in the missing values in the dataset. We will try to determine if there is a pattern in the missing values of the Married variable. The function

is.na(CPS$Married) 

returns a vector of TRUE/FALSE values for whether the Married variable is missing. We can see the breakdown of whether Married is missing based on the reported value of the Region variable with the function

table(CPS$Region, is.na(CPS$Married))

Which is the most accurate:

  • The Married variable being missing is related to the Region value for the interviewee.
  • The Married variable being missing is related to the Sex value for the interviewee.
  • The Married variable being missing is related to the Age value for the interviewee.
  • The Married variable being missing is related to the Citizenship value for the interviewee.
  • The Married variable being missing is not related to the Region, Sex, Age, or Citizenship value for the interviewee.
is.na(CPS$Married) 
   [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
  [15]  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
  [29] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
  [43] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
  [57]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
  [71] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
  [85]  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
  [99] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [113] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
 [127] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
 [141] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
 [155] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [169] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [183] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE  TRUE FALSE FALSE
 [197] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
 [211] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [225] FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
 [239] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [253] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
 [267] FALSE FALSE  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE  TRUE
 [281] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
 [295]  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE
 [309] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
 [323] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
 [337] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
 [351]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE  TRUE FALSE
 [365] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [379] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE  TRUE  TRUE  TRUE
 [393] FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [407]  TRUE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [421] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [435] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
 [449] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE
 [463] FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
 [477] FALSE  TRUE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
 [491]  TRUE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [505] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE
 [519]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
 [533] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [547] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE  TRUE
 [561]  TRUE  TRUE FALSE FALSE  TRUE FALSE FALSE  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE
 [575] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [589] FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [603]  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [617] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE
 [631]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE
 [645] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [659] FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [673] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
 [687] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
 [701] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE
 [715] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [729]  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [743] FALSE FALSE  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [757] FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [771] FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE  TRUE
 [785] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
 [799] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
 [813] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [827] FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE
 [841]  TRUE FALSE FALSE  TRUE  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
 [855] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
 [869] FALSE FALSE  TRUE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [883] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [897] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [911] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
 [925] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [939] FALSE FALSE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [953] FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [967] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
 [981] FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
 [995] FALSE  TRUE FALSE FALSE FALSE  TRUE
 [ reached getOption("max.print") -- omitted 130302 entries ]
table(CPS$Region, is.na(CPS$Married))
           
            FALSE  TRUE
  Midwest   24609  6075
  Northeast 21432  4507
  South     33535  7967
  West      26388  6789

2.3

As mentioned in the variable descriptions, MetroAreaCode is missing if an interviewee does not live in a metropolitan area. Using the same technique as in the previous question, answer the following questions about people who live in non-metropolitan areas.

How many states had all interviewees living in a non-metropolitan area (aka they have a missing MetroAreaCode value)? For this question, treat the District of Columbia as a state (even though it is not technically a state). 2

table(CPS$State, is.na(CPS$MetroAreaCode))
                      
                       FALSE  TRUE
  Alabama               1020   356
  Alaska                   0  1590
  Arizona               1327   201
  Arkansas               724   697
  California           11333   237
  Colorado              2545   380
  Connecticut           2593   243
  Delaware              1696   518
  District of Columbia  1791     0
  Florida               4947   202
  Georgia               2250   557
  Hawaii                1576   523
  Idaho                  761   757
  Illinois              3473   439
  Indiana               1420   584
  Iowa                  1297  1231
  Kansas                1234   701
  Kentucky               908   933
  Louisiana             1216   234
  Maine                  909  1354
  Maryland              2978   222
  Massachusetts         1858   129
  Michigan              2517   546
  Minnesota             2150   989
  Mississippi            376   854
  Missouri              1440   705
  Montana                199  1015
  Nebraska               816  1133
  Nevada                1609   247
  New Hampshire         1148  1514
  New Jersey            2567     0
  New Mexico             832   270
  New York              5144   451
  North Carolina        1642   977
  North Dakota           432  1213
  Ohio                  2754   924
  Oklahoma              1024   499
  Oregon                1519   424
  Pennsylvania          3245   685
  Rhode Island          2209     0
  South Carolina        1139   519
  South Dakota           595  1405
  Tennessee             1149   635
  Texas                 6060  1017
  Utah                  1455   387
  Vermont                657  1233
  Virginia              2367   586
  Washington            1937   429
  West Virginia          344  1065
  Wisconsin             1882   804
  Wyoming                  0  1624

How many states had all interviewees living in a metropolitan area? Again, treat the District of Columbia as a state. 3

2.4

Which region of the United States has the largest proportion of interviewees living in a non-metropolitan area?

  • Midwest
  • Northeast
  • South
  • West

2.5

While we were able to use the table() command to compute the proportion of interviewees from each region not living in a metropolitan area, it was somewhat tedious (it involved manually computing the proportion for each region) and isn’t something you would want to do if there were a larger number of options. It turns out there is a less tedious way to compute the proportion of values that are TRUE. The mean() function, which takes the average of the values passed to it, will treat TRUE as 1 and FALSE as 0, meaning it returns the proportion of values that are true. For instance, mean(c(TRUE, FALSE, TRUE, TRUE)) returns 0.75. Knowing this, use tapply() with the mean function to answer the following questions:

Which state has a proportion of interviewees living in a non-metropolitan area closest to 30%?

Which state has the largest proportion of non-metropolitan interviewees, ignoring states where all interviewees were non-metropolitan?

Section 3 - Integrating Metropolitan Area Data

Codes like MetroAreaCode and CountryOfBirthCode are a compact way to encode factor variables with text as their possible values, and they are therefore quite common in survey datasets. In fact, all but one of the variables in this dataset were actually stored by a numeric code in the original CPS datafile.

When analyzing a variable stored by a numeric code, we will often want to convert it into the values the codes represent. To do this, we will use a dictionary, which maps the the code to the actual value of the variable. We have provided dictionaries MetroAreaCodes.csv and CountryCodes.csv, which respectively map MetroAreaCode and CountryOfBirthCode into their true values. Read these two dictionaries into data frames MetroAreaMap and CountryMap.

3.1

How many observations (codes for metropolitan areas) are there in MetroAreaMap? 271

 str(MetroAreaMap) 
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   271 obs. of  2 variables:
 $ Code     : chr  "00460" "03000" "03160" "03610" ...
 $ MetroArea: chr  "Appleton-Oshkosh-Neenah, WI" "Grand Rapids-Muskegon-Holland, MI" "Greenville-Spartanburg-Anderson, SC" "Jamestown, NY" ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 2
  .. ..$ Code     : list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  .. ..$ MetroArea: list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"

How many observations (codes for countries) are there in CountryMap? 149

str(CountryMap)
Classes ‘tbl_df’, ‘tbl’ and 'data.frame':   149 obs. of  2 variables:
 $ Code   : int  57 66 73 78 96 100 102 103 104 105 ...
 $ Country: chr  "United States" "Guam" "Puerto Rico" "U. S. Virgin Islands" ...
 - attr(*, "spec")=List of 2
  ..$ cols   :List of 2
  .. ..$ Code   : list()
  .. .. ..- attr(*, "class")= chr  "collector_integer" "collector"
  .. ..$ Country: list()
  .. .. ..- attr(*, "class")= chr  "collector_character" "collector"
  ..$ default: list()
  .. ..- attr(*, "class")= chr  "collector_guess" "collector"
  ..- attr(*, "class")= chr "col_spec"

3.2

To merge in the metropolitan areas, we want to connect the field MetroAreaCode from the CPS data frame with the field Code in MetroAreaMap. The following command merges the two data frames on these columns, overwriting the CPS data frame with the result:

CPS = merge(CPS, MetroAreaMap, by.x="MetroAreaCode", by.y="Code", all.x=TRUE)

The first two arguments determine the data frames to be merged (they are called “x” and “y”, respectively, in the subsequent parameters to the merge function). by.x=“MetroAreaCode” means we’re matching on the MetroAreaCode variable from the “x” data frame (CPS), while by.y=“Code” means we’re matching on the Code variable from the “y” data frame (MetroAreaMap). Finally, all.x=TRUE means we want to keep all rows from the “x” data frame (CPS), even if some of the rows’ MetroAreaCode doesn’t match any codes in MetroAreaMap (for those familiar with database terminology, this parameter makes the operation a left outer join instead of an inner join).

Review the new version of the CPS data frame with the summary() and str() functions. What is the name of the variable that was added to the data frame by the merge() operation?

CPS = merge(CPS, MetroAreaMap, by.x="MetroAreaCode", by.y="Code", all.x=TRUE)
summary(CPS)
 MetroAreaCode   PeopleInHousehold    Region             State                Age       
 Min.   :10420   Min.   : 1.000    Length:131302      Length:131302      Min.   : 0.00  
 1st Qu.:21780   1st Qu.: 2.000    Class :character   Class :character   1st Qu.:19.00  
 Median :34740   Median : 3.000    Mode  :character   Mode  :character   Median :39.00  
 Mean   :35075   Mean   : 3.284                                          Mean   :38.83  
 3rd Qu.:41860   3rd Qu.: 4.000                                          3rd Qu.:57.00  
 Max.   :79600   Max.   :15.000                                          Max.   :85.00  
 NA's   :34238                                                                          
   Married              Sex             Education             Race          
 Length:131302      Length:131302      Length:131302      Length:131302     
 Class :character   Class :character   Class :character   Class :character  
 Mode  :character   Mode  :character   Mode  :character   Mode  :character  
                                                                            
                                                                            
                                                                            
                                                                            
    Hispanic      CountryOfBirthCode Citizenship        EmploymentStatus  
 Min.   :0.0000   Min.   : 57.00     Length:131302      Length:131302     
 1st Qu.:0.0000   1st Qu.: 57.00     Class :character   Class :character  
 Median :0.0000   Median : 57.00     Mode  :character   Mode  :character  
 Mean   :0.1393   Mean   : 82.68                                          
 3rd Qu.:0.0000   3rd Qu.: 57.00                                          
 Max.   :1.0000   Max.   :555.00                                          
                                                                          
   Industry          MetroArea        
 Length:131302      Length:131302     
 Class :character   Class :character  
 Mode  :character   Mode  :character  
                                      
                                      
                                      
                                      
str(CPS)
'data.frame':   131302 obs. of  15 variables:
 $ MetroAreaCode     : int  10420 10420 10420 10420 10420 10420 10420 10420 10420 10420 ...
 $ PeopleInHousehold : int  4 4 2 4 1 3 4 4 2 3 ...
 $ Region            : chr  "Midwest" "Midwest" "Midwest" "Midwest" ...
 $ State             : chr  "Ohio" "Ohio" "Ohio" "Ohio" ...
 $ Age               : int  2 9 73 40 63 19 30 6 60 32 ...
 $ Married           : chr  NA NA "Married" "Married" ...
 $ Sex               : chr  "Male" "Male" "Female" "Female" ...
 $ Education         : chr  NA NA "Some college, no degree" "High school" ...
 $ Race              : chr  "White" "White" "White" "White" ...
 $ Hispanic          : int  0 0 0 0 0 0 0 1 0 0 ...
 $ CountryOfBirthCode: int  57 57 57 362 57 57 203 57 57 57 ...
 $ Citizenship       : chr  "Citizen, Native" "Citizen, Native" "Citizen, Native" "Citizen, Naturalized" ...
 $ EmploymentStatus  : chr  NA NA "Retired" "Not in Labor Force" ...
 $ Industry          : chr  NA NA NA NA ...
 $ MetroArea         : chr  "Akron, OH" "Akron, OH" "Akron, OH" "Akron, OH" ...

How many interviewees have a missing value for the new metropolitan area variable? Note that all of these interviewees would have been removed from the merged data frame if we did not include the all.x=TRUE parameter.

3.3

Which of the following metropolitan areas has the largest number of interviewees?

  • Atlanta-Sandy Springs-Marietta, GA
  • Baltimore-Towson, MD
  • Boston-Cambridge-Quincy, MA-NH
  • San Francisco-Oakland-Fremont, CA
table(CPS$MetroArea)

                                         Akron, OH 
                                               231 
                       Albany-Schenectady-Troy, NY 
                                               268 
                                        Albany, GA 
                                                68 
                                   Albuquerque, NM 
                                               609 
                 Allentown-Bethlehem-Easton, PA-NJ 
                                               334 
                                       Altoona, PA 
                                                82 
                                      Amarillo, TX 
                                                88 
                                      Anderson, IN 
                                                62 
                                      Anderson, SC 
                                                64 
                                     Ann Arbor, MI 
                                                85 
                               Anniston-Oxford, AL 
                                                61 
                                       Appleton,WI 
                                               125 
                                     Asheville, NC 
                                               116 
                           Athens-Clark County, GA 
                                                65 
                Atlanta-Sandy Springs-Marietta, GA 
                                              1552 
                                 Atlantic City, NJ 
                                               111 
                    Augusta-Richmond County, GA-SC 
                                               161 
                             Austin-Round Rock, TX 
                                               516 
                                   Bakersfield, CA 
                                               245 
                              Baltimore-Towson, MD 
                                              1483 
                                        Bangor, ME 
                                               208 
                               Barnstable Town, MA 
                                                75 
                                   Baton Rouge, LA 
                                               262 
                          Beaumont-Port Author, TX 
                                               123 
                                    Bellingham, WA 
                                                70 
                                          Bend, OR 
                                               140 
                                      Billings, MT 
                                               199 
                                    Binghamton, NY 
                                                73 
                             Birmingham-Hoover, AL 
                                               392 
                             Bloomington-Normal IL 
                                                40 
                                   Bloomington, IN 
                                               104 
                              Boise City-Nampa, ID 
                                               644 
                    Boston-Cambridge-Quincy, MA-NH 
                                              2229 
                                       Boulder, CO 
                                               171 
                                 Bowling Green, KY 
                                                29 
                          Bremerton-Silverdale, WA 
                                                87 
                   Bridgeport-Stamford-Norwalk, CT 
                                               730 
                         Brownsville-Harlingen, TX 
                                                79 
                         Buffalo-Niagara Falls, NY 
                                               344 
                   Burlington-South Burlington, VT 
                                               657 
                              Canton-Massillon, OH 
                                               118 
                         Cape Coral-Fort Myers, FL 
                                               146 
                                  Cedar Rapids, IA 
                                               196 
                              Champaign-Urbana, IL 
                                               122 
                   Charleston-North Charleston, SC 
                                               232 
                                    Charleston, WV 
                                               262 
                 Charlotte-Gastonia-Concord, NC-SC 
                                               517 
                                Chattanooga, TN-GA 
                                               167 
               Chicago-Naperville-Joliet, IN-IN-WI 
                                              2772 
                                         Chico, CA 
                                                60 
                   Cincinnati-Middletown, OH-KY-IN 
                                               719 
                       Cleveland-Elyria-Mentor, OH 
                                               681 
                                 Coeur d'Alene, ID 
                                               117 
                              Colorado Springs, CO 
                                               372 
                                      Columbia, MO 
                                                47 
                                      Columbia, SC 
                                               291 
                                   Columbus, GA-AL 
                                                59 
                                      Columbus, OH 
                                               551 
                                Corpus Christi, TX 
                                               132 
                   Dallas-Fort Worth-Arlington, TX 
                                              1863 
                                       Danbury, CT 
                                               112 
               Davenport-Moline-Rock Island, IA-IL 
                                               240 
                                        Dayton, OH 
                                               268 
                                       Decatur, Al 
                                                96 
                                       Decatur, IL 
                                                81 
            Deltona-Daytona Beach-Ormond Beach, FL 
                                               140 
                                 Denver-Aurora, CO 
                                              1504 
                                    Des Moines, IA 
                                               501 
                        Detroit-Warren-Livonia, MI 
                                              1354 
                                         Dover, DE 
                                               456 
                                     Duluth, MN-WI 
                                               126 
                                        Durham, NC 
                                               189 
                                    Eau Claire, WI 
                                               110 
                                     El Centro, CA 
                                                99 
                                       El Paso, TX 
                                               244 
                                          Erie, PA 
                                                87 
                            Eugene-Springfield, OR 
                                               196 
                                 Evansville, IN-KY 
                                                99 
                                      Fargo, ND-MN 
                                               432 
                                    Farmington, NM 
                                                64 
             Fayetteville-Springdale-Rogers, AR-MO 
                                               215 
                                  Fayetteville, NC 
                                                77 
                                         Flint, MI 
                                               102 
                                      Florence, AL 
                                                63 
                         Fort Collins-Loveland, CO 
                                               206 
                                 Fort Smith, AR-OK 
                                               105 
            Fort Walton Beach-Crestview-Destin, FL 
                                                80 
                                    Fort Wayne, IN 
                                               136 
                                        Fresno, CA 
                                               303 
                                   Gainesville, FL 
                                                70 
                          Grand Rapids-Wyoming, MI 
                                               304 
                                       Greeley, CO 
                                               162 
                                     Green Bay, WI 
                                               136 
                         Greensboro-High Point, NC 
                                               251 
                                    Greenville, SC 
                                               185 
                               Gulfport-Biloxi, MS 
                                                65 
                     Hagerstown-Martinsburg, MD-WV 
                                                86 
                           Harrisburg-Carlisle, PA 
                                               174 
                                  Harrisonburg, VA 
                                                90 
          Hartford-West Hartford-East Hartford, CT 
                                               885 
                     Hickory-Morgantown-Lenoir, NC 
                                                57 
                           Holland-Grand Haven, MI 
                                                78 
                                      Honolulu, HI 
                                              1576 
                    Houston-Baytown-Sugar Land, TX 
                                              1649 
                      Huntington-Ashland, WV-KY-OH 
                                                82 
                                    Huntsville, AL 
                                               117 
                                  Indianapolis, IN 
                                               570 
                                     Iowa City, IA 
                                               131 
                                       Jackson, MI 
                                                70 
                                       Jackson, MS 
                                               222 
                                  Jacksonville, FL 
                                               393 
                                  Jacksonville, NC 
                                                63 
                                    Janesville, WI 
                                                99 
                                  Johnson City, TN 
                                                52 
                                     Johnstown, PA 
                                                63 
                                        Joplin, MO 
                                                59 
                             Kalamazoo-Portage, MI 
                                               127 
                              Kankakee-Bradley, IL 
                                                87 
                                Kansas City, MO-KS 
                                               962 
                      Killeen-Temple-Fort Hood, TX 
                                               101 
                          Kingsport-Bristol, TN-VA 
                                                67 
                                      Kingston, NY 
                                                87 
                                     Knoxville, TN 
                                               168 
                                     La Crosse, WI 
                                               114 
                                     Lafayette, LA 
                                               181 
                                  Lake Charles, LA 
                                                81 
                         Lakeland-Winter Haven, FL 
                                               149 
                                     Lancaster, PA 
                                               156 
                          Lansing-East Lansing, MI 
                                               119 
                                        Laredo, TX 
                                                89 
                                    Las Cruses, NM 
                                               107 
                            Las Vegas-Paradise, NV 
                                              1299 
                                      Lawrence, KS 
                                                98 
                                        Lawton, OK 
                                                97 
                  Leominster-Fitchburg-Gardner, MA 
                                                66 
                             Lexington-Fayette, KY 
                                               198 
                 Little Rock-North Little Rock, AR 
                                               404 
                                      Longview, TX 
                                                65 
              Los Angeles-Long Beach-Santa Ana, CA 
                                              4102 
                                 Louisville, KY-IN 
                                               519 
                                       Lubbock, TX 
                                                63 
                                     Lynchburg, VA 
                                                73 
                                         Macon, GA 
                                                65 
                                        Madera, CA 
                                                57 
                                       Madison, WI 
                                               284 
                        McAllen-Edinburg-Pharr, TX 
                                               195 
                                       Medford, OR 
                                                82 
                                 Memphis, TN-MS-AR 
                                               348 
                                        Merced, CA 
                                               106 
             Miami-Fort Lauderdale-Miami Beach, FL 
                                              1554 
                        Michigan City-La Porte, IN 
                                                77 
                                       Midland, TX 
                                                51 
                 Milwaukee-Waukesha-West Allis, WI 
                                               714 
            Minneapolis-St Paul-Bloomington, MN-WI 
                                              1942 
                                        Mobile, AL 
                                               110 
                                       Modesto, CA 
                                               158 
                                        Monroe, LA 
                                               179 
                                        Monroe, MI 
                                                63 
                                    Montgomery, AL 
                                               103 
                        Muskegon-Norton Shores, MI 
                                                90 
        Myrtle Beach-Conway-North Myrtle Beach, SC 
                                               102 
                                          Napa, CA 
                                                61 
                           Naples-Marco Island, FL 
                                                82 
               Nashville-Davidson-Murfreesboro, TN 
                                               505 
                                     New Haven, CT 
                                               506 
                   New Orleans-Metairie-Kenner, LA 
                                               367 
New York-Northern New Jersey-Long Island, NY-NJ-PA 
                                              5409 
                           Niles-Benton Harbor, MI 
                                                51 
                         Norwich-New London, CT-RI 
                                               203 
                                         Ocala, FL 
                                                76 
                                    Ocean City, NJ 
                                                30 
                              Ogden-Clearfield, UT 
                                               423 
                                 Oklahoma City, OK 
                                               604 
                                       Olympia, WA 
                                                99 
                       Omaha-Council Bluffs, NE-IA 
                                               957 
                                       Orlando, FL 
                                               610 
                                Oshkosh-Neenah, WI 
                                                85 
                  Oxnard-Thousand Oaks-Ventura, CA 
                                               267 
                 Palm Bay-Melbourne-Titusville, FL 
                                               168 
                        Panama City-Lynn Haven, FL 
                                                59 
                    Pensacola-Ferry Pass-Brent, FL 
                                               107 
                                        Peoria, IL 
                                               112 
          Philadelphia-Camden-Wilmington, PA-NJ-DE 
                                              2855 
                       Phoenix-Mesa-Scottsdale, AZ 
                                               971 
                                    Pittsburgh, PA 
                                               732 
                    Port St. Lucie-Fort Pierce, FL 
                                               109 
                       Portland-South Portland, ME 
                                               701 
               Portland-Vancouver-Beaverton, OR-WA 
                                              1089 
              Poughkeepsie-Newburgh-Middletown, NY 
                                               201 
                                      Prescott, AZ 
                                                54 
              Providence-Fall River-Warwick, MA-RI 
                                              2284 
                                    Provo-Orem, UT 
                                               309 
                                        Pueblo, CO 
                                               130 
                                   Punta Gorda, FL 
                                                48 
                                        Racine, WI 
                                               119 
                                  Raleigh-Cary, NC 
                                               336 
                                       Reading, PA 
                                               142 
                                   Reno-Sparks, NV 
                                               310 
                                      Richmond, VA 
                                               490 
                      Riverside-San Bernardino, CA 
                                              1290 
                                       Roanoke, VA 
                                                66 
                            Rochester-Dover, NH-ME 
                                               262 
                                     Rochester, NY 
                                               307 
                                      Rockford, IL 
                                               114 
             Sacramento-Arden-Arcade-Roseville, CA 
                                               667 
                Saginaw-Saginaw Township North, MI 
                                                74 
                                         Salem, OR 
                                               170 
                                       Salinas, CA 
                                               104 
                                     Salisbury, MD 
                                                74 
                                Salt Lake City, UT 
                                               723 
                                   San Antonio, TX 
                                               607 
                 San Diego-Carlsbad-San Marcos, CA 
                                               907 
                 San Francisco-Oakland-Fremont, CA 
                                              1386 
                San Jose-Sunnyvale-Santa Clara, CA 
                                               670 
                   San Luis Obispo-Paso Robles, CA 
                                                77 
              Santa Barbara-Santa Maria-Goleta, CA 
                                               132 
                                      Santa Fe, NM 
                                                52 
                           Santa Rosa-Petaluma, CA 
                                               129 
                        Santa-Cruz-Watsonville, CA 
                                                66 
                     Sarasota-Bradenton-Venice, FL 
                                               192 
                                      Savannah, GA 
                                               202 
                         Scranton-Wilkes Barre, PA 
                                               176 
                       Seattle-Tacoma-Bellevue, WA 
                                              1255 
                       Shreveport-Bossier City, LA 
                                               146 
                                   Sioux Falls, SD 
                                               595 
                       South Bend-Mishawaka, IN-MI 
                                                81 
                                   Spartanburg, SC 
                                                99 
                                       Spokane, WA 
                                               156 
                                   Springfield, IL 
                                                76 
                                Springfield, MA-CT 
                                               155 
                                   Springfield, MO 
                                               161 
                                   Springfield, OH 
                                                34 
                                     St. Cloud, MN 
                                                82 
                                  St. Louis, MO-IL 
                                               956 
                                      Stockton, CA 
                                               193 
                                      Syracuse, NY 
                                               223 
                                   Tallahassee, FL 
                                                43 
               Tampa-St. Petersburg-Clearwater, FL 
                                               842 
                                        Toledo, OH 
                                               235 
                                        Topeka, KS 
                                               182 
                                 Trenton-Ewing, NJ 
                                                91 
                                        Tucson, AZ 
                                               302 
                                         Tulsa, OK 
                                               323 
                                    Tuscaloosa, AL 
                                                78 
                                    Utica-Rome, NY 
                                                80 
                                      Valdosta, GA 
                                                42 
                             Vallejo-Fairfield, CA 
                                               133 
                                    Vero Beach, FL 
                                                79 
                                      Victoria, TX 
                                               116 
                  Vineland-Millville-Bridgeton, NJ 
                                                54 
        Virginia Beach-Norfolk-Newport News, VA-NC 
                                               597 
                           Visalia-Porterville, CA 
                                               121 
                                          Waco, TX 
                                                79 
                                 Warner Robins, GA 
                                                42 
      Washington-Arlington-Alexandria, DC-VA-MD-WV 
                                              4177 
                                     Waterbury, CT 
                                               157 
                          Waterloo-Cedar Falls, IA 
                                               156 
                                        Wausau, WI 
                                                96 
                                       Wichita, KS 
                                               427 
                                 Winston-Salem, NC 
                                               127 
                                  Worcester, MA-CT 
                                               144 
                                        Yakima, WA 
                                               112 
                                  York-Hanover, PA 
                                               117 
                    Youngstown-Warren-Boardman, OH 
                                               153 

3.4

Which metropolitan area has the highest proportion of interviewees of Hispanic ethnicity? Hint: Use tapply() with mean, as in the previous subproblem. Calling sort() on the output of tapply() could also be helpful here.

3.5

Remembering that CPS$Race == “Asian” returns a TRUE/FALSE vector of whether an interviewee is Asian, determine the number of metropolitan areas in the United States from which at least 20% of interviewees are Asian.

sort(tapply(CPS$Race == "Asian", CPS$MetroArea, mean))
                                        Albany, GA 
                                       0.000000000 
                                       Altoona, PA 
                                       0.000000000 
                                      Amarillo, TX 
                                       0.000000000 
                                      Anderson, IN 
                                       0.000000000 
                                       Appleton,WI 
                                       0.000000000 
                                     Asheville, NC 
                                       0.000000000 
                               Barnstable Town, MA 
                                       0.000000000 
                          Beaumont-Port Author, TX 
                                       0.000000000 
                                      Billings, MT 
                                       0.000000000 
                                    Binghamton, NY 
                                       0.000000000 
                                   Bloomington, IN 
                                       0.000000000 
                                 Bowling Green, KY 
                                       0.000000000 
                              Canton-Massillon, OH 
                                       0.000000000 
                                    Charleston, WV 
                                       0.000000000 
                                         Chico, CA 
                                       0.000000000 
                                   Columbus, GA-AL 
                                       0.000000000 
                                       Decatur, IL 
                                       0.000000000 
                                        Durham, NC 
                                       0.000000000 
                                    Eau Claire, WI 
                                       0.000000000 
                                       El Paso, TX 
                                       0.000000000 
                                          Erie, PA 
                                       0.000000000 
                                    Farmington, NM 
                                       0.000000000 
                                      Florence, AL 
                                       0.000000000 
                     Hagerstown-Martinsburg, MD-WV 
                                       0.000000000 
                                    Huntsville, AL 
                                       0.000000000 
                                       Jackson, MI 
                                       0.000000000 
                                       Jackson, MS 
                                       0.000000000 
                                    Janesville, WI 
                                       0.000000000 
                                  Johnson City, TN 
                                       0.000000000 
                                        Joplin, MO 
                                       0.000000000 
                              Kankakee-Bradley, IL 
                                       0.000000000 
                      Killeen-Temple-Fort Hood, TX 
                                       0.000000000 
                          Kingsport-Bristol, TN-VA 
                                       0.000000000 
                                     Knoxville, TN 
                                       0.000000000 
                                     Lafayette, LA 
                                       0.000000000 
                          Lansing-East Lansing, MI 
                                       0.000000000 
                                        Laredo, TX 
                                       0.000000000 
                  Leominster-Fitchburg-Gardner, MA 
                                       0.000000000 
                                      Longview, TX 
                                       0.000000000 
                                       Lubbock, TX 
                                       0.000000000 
                                     Lynchburg, VA 
                                       0.000000000 
                                         Macon, GA 
                                       0.000000000 
                                        Madera, CA 
                                       0.000000000 
                        McAllen-Edinburg-Pharr, TX 
                                       0.000000000 
                        Michigan City-La Porte, IN 
                                       0.000000000 
                                       Midland, TX 
                                       0.000000000 
                                        Monroe, MI 
                                       0.000000000 
                        Muskegon-Norton Shores, MI 
                                       0.000000000 
        Myrtle Beach-Conway-North Myrtle Beach, SC 
                                       0.000000000 
                           Niles-Benton Harbor, MI 
                                       0.000000000 
                                    Ocean City, NJ 
                                       0.000000000 
                                Oshkosh-Neenah, WI 
                                       0.000000000 
                    Port St. Lucie-Fort Pierce, FL 
                                       0.000000000 
              Poughkeepsie-Newburgh-Middletown, NY 
                                       0.000000000 
                                        Pueblo, CO 
                                       0.000000000 
                                   Punta Gorda, FL 
                                       0.000000000 
                                        Racine, WI 
                                       0.000000000 
                                       Reading, PA 
                                       0.000000000 
                                       Roanoke, VA 
                                       0.000000000 
                                      Rockford, IL 
                                       0.000000000 
                Saginaw-Saginaw Township North, MI 
                                       0.000000000 
                                         Salem, OR 
                                       0.000000000 
                                     Salisbury, MD 
                                       0.000000000 
                                      Santa Fe, NM 
                                       0.000000000 
                        Santa-Cruz-Watsonville, CA 
                                       0.000000000 
                         Scranton-Wilkes Barre, PA 
                                       0.000000000 
                       Shreveport-Bossier City, LA 
                                       0.000000000 
                       South Bend-Mishawaka, IN-MI 
                                       0.000000000 
                                   Spartanburg, SC 
                                       0.000000000 
                                Springfield, MA-CT 
                                       0.000000000 
                                   Springfield, OH 
                                       0.000000000 
                                     St. Cloud, MN 
                                       0.000000000 
                                   Tallahassee, FL 
                                       0.000000000 
                                    Tuscaloosa, AL 
                                       0.000000000 
                                    Utica-Rome, NY 
                                       0.000000000 
                                      Valdosta, GA 
                                       0.000000000 
                                    Vero Beach, FL 
                                       0.000000000 
                                      Victoria, TX 
                                       0.000000000 
                  Vineland-Millville-Bridgeton, NJ 
                                       0.000000000 
                                          Waco, TX 
                                       0.000000000 
                                     Waterbury, CT 
                                       0.000000000 
                                        Wausau, WI 
                                       0.000000000 
                                  St. Louis, MO-IL 
                                       0.002092050 
                   New Orleans-Metairie-Kenner, LA 
                                       0.002724796 
                                   San Antonio, TX 
                                       0.003294893 
                   Charleston-North Charleston, SC 
                                       0.004310345 
                                        Monroe, LA 
                                       0.005586592 
                                Chattanooga, TN-GA 
                                       0.005988024 
                                       Modesto, CA 
                                       0.006329114 
                                          Bend, OR 
                                       0.007142857 
                                        Dayton, OH 
                                       0.007462687 
              Santa Barbara-Santa Maria-Goleta, CA 
                                       0.007575758 
                           Santa Rosa-Petaluma, CA 
                                       0.007751938 
                                        Toledo, OH 
                                       0.008510638 
                                 Coeur d'Alene, ID 
                                       0.008547009 
                                  York-Hanover, PA 
                                       0.008547009 
                                        Yakima, WA 
                                       0.008928571 
                          Grand Rapids-Wyoming, MI 
                                       0.009868421 
                                   Sioux Falls, SD 
                                       0.010084034 
                                 Evansville, IN-KY 
                                       0.010101010 
                                      Lawrence, KS 
                                       0.010204082 
                       Cleveland-Elyria-Mentor, OH 
                                       0.010279001 
                                        Lawton, OK 
                                       0.010309278 
                              Boise City-Nampa, ID 
                                       0.010869565 
                           Harrisburg-Carlisle, PA 
                                       0.011494253 
                                      Kingston, NY 
                                       0.011494253 
                                 Louisville, KY-IN 
                                       0.011560694 
                                       Medford, OR 
                                       0.012195122 
                                       Greeley, CO 
                                       0.012345679 
                                   Springfield, MO 
                                       0.012422360 
                             Birmingham-Hoover, AL 
                                       0.012755102 
                          Waterloo-Cedar Falls, IA 
                                       0.012820513 
                                    Provo-Orem, UT 
                                       0.012944984 
                    Youngstown-Warren-Boardman, OH 
                                       0.013071895 
                                         Ocala, FL 
                                       0.013157895 
                 Allentown-Bethlehem-Easton, PA-NJ 
                                       0.014970060 
                                Corpus Christi, TX 
                                       0.015151515 
                                         Dover, DE 
                                       0.015350877 
                 Charlotte-Gastonia-Concord, NC-SC 
                                       0.015473888 
                     Sarasota-Bradenton-Venice, FL 
                                       0.015625000 
                             Kalamazoo-Portage, MI 
                                       0.015748031 
                                 Winston-Salem, NC 
                                       0.015748031 
                                     Johnstown, PA 
                                       0.015873016 
                              Colorado Springs, CO 
                                       0.016129032 
                              Champaign-Urbana, IL 
                                       0.016393443 
                                          Napa, CA 
                                       0.016393443 
                        Panama City-Lynn Haven, FL 
                                       0.016949153 
                                 Memphis, TN-MS-AR 
                                       0.017241379 
                                      Columbus, OH 
                                       0.018148820 
                                      Prescott, AZ 
                                       0.018518519 
                                    Las Cruses, NM 
                                       0.018691589 
                    Pensacola-Ferry Pass-Brent, FL 
                                       0.018691589 
                                       Spokane, WA 
                                       0.019230769 
                         Fort Collins-Loveland, CO 
                                       0.019417476 
                                         Flint, MI 
                                       0.019607843 
                                      Savannah, GA 
                                       0.019801980 
                                        Tucson, AZ 
                                       0.019867550 
                                     El Centro, CA 
                                       0.020202020 
                            Eugene-Springfield, OR 
                                       0.020408163 
               Davenport-Moline-Rock Island, IA-IL 
                                       0.020833333 
            Deltona-Daytona Beach-Ormond Beach, FL 
                                       0.021428571 
                                        Topeka, KS 
                                       0.021978022 
                   Cincinnati-Middletown, OH-KY-IN 
                                       0.022253129 
                 Little Rock-North Little Rock, AR 
                                       0.022277228 
                       Albany-Schenectady-Troy, NY 
                                       0.022388060 
                                   Baton Rouge, LA 
                                       0.022900763 
                          Bremerton-Silverdale, WA 
                                       0.022988506 
                                        Bangor, ME 
                                       0.024038462 
                           Naples-Marco Island, FL 
                                       0.024390244 
                                  Indianapolis, IN 
                                       0.024561404 
                    Augusta-Richmond County, GA-SC 
                                       0.024844720 
                           Holland-Grand Haven, MI 
                                       0.025641026 
                                  Fayetteville, NC 
                                       0.025974026 
                              Ogden-Clearfield, UT 
                                       0.026004728 
                            Rochester-Dover, NH-ME 
                                       0.026717557 
        Virginia Beach-Norfolk-Newport News, VA-NC 
                                       0.026800670 
                         Lakeland-Winter Haven, FL 
                                       0.026845638 
                                      Columbia, SC 
                                       0.027491409 
                                      Fargo, ND-MN 
                                       0.027777778 
                                    Bellingham, WA 
                                       0.028571429 
                                    Montgomery, AL 
                                       0.029126214 
                       Omaha-Council Bluffs, NE-IA 
                                       0.029258098 
                                         Akron, OH 
                                       0.030303030 
                                       Wichita, KS 
                                       0.030444965 
                           Athens-Clark County, GA 
                                       0.030769231 
                               Gulfport-Biloxi, MS 
                                       0.030769231 
                                      Anderson, SC 
                                       0.031250000 
                                 Denver-Aurora, CO 
                                       0.031914894 
                                    Greenville, SC 
                                       0.032432432 
          Philadelphia-Camden-Wilmington, PA-NJ-DE 
                                       0.032924694 
                                  Harrisonburg, VA 
                                       0.033333333 
                         Cape Coral-Fort Myers, FL 
                                       0.034246575 
                                Kansas City, MO-KS 
                                       0.034303534 
                                  Worcester, MA-CT 
                                       0.034722222 
                                 Oklahoma City, OK 
                                       0.034768212 
                     Hickory-Morgantown-Lenoir, NC 
                                       0.035087719 
                             Lexington-Fayette, KY 
                                       0.035353535 
             Miami-Fort Lauderdale-Miami Beach, FL 
                                       0.035392535 
                 Palm Bay-Melbourne-Titusville, FL 
                                       0.035714286 
                                Salt Lake City, UT 
                                       0.035961272 
                                        Mobile, AL 
                                       0.036363636 
                      Huntington-Ashland, WV-KY-OH 
                                       0.036585366 
                                      Richmond, VA 
                                       0.036734694 
                                    Fort Wayne, IN 
                                       0.036764706 
            Fort Walton Beach-Crestview-Destin, FL 
                                       0.037500000 
                                    Des Moines, IA 
                                       0.037924152 
                       Phoenix-Mesa-Scottsdale, AZ 
                                       0.038105046 
                                    Pittsburgh, PA 
                                       0.038251366 
                   Bridgeport-Stamford-Norwalk, CT 
                                       0.038356164 
              Providence-Fall River-Warwick, MA-RI 
                                       0.038966725 
               Tampa-St. Petersburg-Clearwater, FL 
                                       0.039192399 
                                     Duluth, MN-WI 
                                       0.039682540 
                                      Syracuse, NY 
                                       0.040358744 
                                   Albuquerque, NM 
                                       0.041050903 
                                       Decatur, Al 
                                       0.041666667 
                       Portland-South Portland, ME 
                                       0.042796006 
                                   Gainesville, FL 
                                       0.042857143 
                        Detroit-Warren-Livonia, MI 
                                       0.043574594 
                                 Trenton-Ewing, NJ 
                                       0.043956044 
                                     New Haven, CT 
                                       0.047430830 
                                  Jacksonville, NC 
                                       0.047619048 
                 Milwaukee-Waukesha-West Allis, WI 
                                       0.047619048 
                                  Jacksonville, FL 
                                       0.048346056 
                   Burlington-South Burlington, VT 
                                       0.048706240 
                               Anniston-Oxford, AL 
                                       0.049180328 
                                         Tulsa, OK 
                                       0.049535604 
                                  Raleigh-Cary, NC 
                                       0.050595238 
                                       Orlando, FL 
                                       0.050819672 
             Fayetteville-Springdale-Rogers, AR-MO 
                                       0.051162791 
                   San Luis Obispo-Paso Robles, CA 
                                       0.051948052 
                    Boston-Cambridge-Quincy, MA-NH 
                                       0.052041274 
                             Austin-Round Rock, TX 
                                       0.052325581 
                         Buffalo-Niagara Falls, NY 
                                       0.052325581 
                                   Springfield, IL 
                                       0.052631579 
                                     Iowa City, IA 
                                       0.053435115 
                                        Peoria, IL 
                                       0.053571429 
                                       Madison, WI 
                                       0.056338028 
                                        Merced, CA 
                                       0.056603774 
                                 Fort Smith, AR-OK 
                                       0.057142857 
               Nashville-Davidson-Murfreesboro, TN 
                                       0.057425743 
                                     Lancaster, PA 
                                       0.057692308 
                              Baltimore-Towson, MD 
                                       0.057990560 
                                   Reno-Sparks, NV 
                                       0.058064516 
               Chicago-Naperville-Joliet, IN-IN-WI 
                                       0.058441558 
                                       Boulder, CO 
                                       0.058479532 
                    Houston-Baytown-Sugar Land, TX 
                                       0.061249242 
                      Riverside-San Bernardino, CA 
                                       0.062015504 
                                       Danbury, CT 
                                       0.062500000 
                   Dallas-Fort Worth-Arlington, TX 
                                       0.062801932 
                                      Columbia, MO 
                                       0.063829787 
                                     Rochester, NY 
                                       0.065146580 
                                  Cedar Rapids, IA 
                                       0.066326531 
          Hartford-West Hartford-East Hartford, CT 
                                       0.066666667 
               Portland-Vancouver-Beaverton, OR-WA 
                                       0.069788797 
      Washington-Arlington-Alexandria, DC-VA-MD-WV 
                                       0.070624850 
                Atlanta-Sandy Springs-Marietta, GA 
                                       0.072809278 
                         Norwich-New London, CT-RI 
                                       0.073891626 
                                  Lake Charles, LA 
                                       0.074074074 
                  Oxnard-Thousand Oaks-Ventura, CA 
                                       0.074906367 
                             Bloomington-Normal IL 
                                       0.075000000 
                         Brownsville-Harlingen, TX 
                                       0.075949367 
            Minneapolis-St Paul-Bloomington, MN-WI 
                                       0.076725026 
                            Las Vegas-Paradise, NV 
                                       0.078521940 
                         Greensboro-High Point, NC 
                                       0.079681275 
                                   Bakersfield, CA 
                                       0.081632653 
                                     Ann Arbor, MI 
                                       0.082352941 
                                     La Crosse, WI 
                                       0.087719298 
                                     Green Bay, WI 
                                       0.088235294 
                           Visalia-Porterville, CA 
                                       0.090909091 
                       Seattle-Tacoma-Bellevue, WA 
                                       0.099601594 
New York-Northern New Jersey-Long Island, NY-NJ-PA 
                                       0.104270660 
                                       Salinas, CA 
                                       0.125000000 
                                       Olympia, WA 
                                       0.131313131 
              Los Angeles-Long Beach-Santa Ana, CA 
                                       0.135056070 
                 San Diego-Carlsbad-San Marcos, CA 
                                       0.142227122 
             Sacramento-Arden-Arcade-Roseville, CA 
                                       0.142428786 
                                 Atlantic City, NJ 
                                       0.144144144 
                                      Stockton, CA 
                                       0.155440415 
                                 Warner Robins, GA 
                                       0.166666667 
                                        Fresno, CA 
                                       0.184818482 
                             Vallejo-Fairfield, CA 
                                       0.203007519 
                San Jose-Sunnyvale-Santa Clara, CA 
                                       0.241791045 
                 San Francisco-Oakland-Fremont, CA 
                                       0.246753247 
                                      Honolulu, HI 
                                       0.501903553 

3.6

Normally, we would look at the sorted proportion of interviewees from each metropolitan area who have not received a high school diploma with the command:

sort(tapply(CPS$Education == "No high school diploma", CPS$MetroArea, mean))

However, none of the interviewees aged 14 and younger have an education value reported, so the mean value is reported as NA for each metropolitan area. To get mean (and related functions, like sum) to ignore missing values, you can pass the parameter na.rm=TRUE. Passing na.rm=TRUE to the tapply function, determine which metropolitan area has the smallest proportion of interviewees who have received no high school diploma.

Section 4 - Integrating Country of Birth Data

Just as we did with the metropolitan area information, merge in the country of birth information from the CountryMap data frame, replacing the CPS data frame with the result. If you accidentally overwrite CPS with the wrong values, remember that you can restore it by re-loading the data frame from CPSData.csv and then merging in the metropolitan area information using the command provided in the previous subproblem.

4.1

What is the name of the variable added to the CPS data frame by this merge operation?

How many interviewees have a missing value for the new country of birth variable?

4.2

Among all interviewees born outside of North America, which country was the most common place of birth?

4.3

What proportion of the interviewees from the “New York-Northern New Jersey-Long Island, NY-NJ-PA” metropolitan area have a country of birth that is not the United States? For this computation, don’t include people from this metropolitan area who have a missing country of birth.

4.4

Which metropolitan area has the largest number (note – not proportion) of interviewees with a country of birth in India? Hint – remember to include na.rm=TRUE if you are using tapply() to answer this question.

  • Boston-Cambridge-Quincy, MA-NH
  • Minneapolis-St Paul-Bloomington, MN-WI
  • New York-Northern New Jersey-Long Island, NY-NJ-PA
  • Washington-Arlington-Alexandria, DC-VA-MD-WV

In Brazil?

  • Boston-Cambridge-Quincy, MA-NH
  • Minneapolis-St Paul-Bloomington, MN-WI
  • New York-Northern New Jersey-Long Island, NY-NJ-PA
  • Washington-Arlington-Alexandria, DC-VA-MD-WV

In Somalia?

  • Boston-Cambridge-Quincy, MA-NH
  • Minneapolis-St Paul-Bloomington, MN-WI
  • New York-Northern New Jersey-Long Island, NY-NJ-PA
  • Washington-Arlington-Alexandria, DC-VA-MD-WV
---
title: "AS1-3 Demographics and Employment in the United States"
author: "<name> <student ID>"
output: html_notebook
---

- - -
In the wake of the Great Recession of 2009, there has been a good deal of focus on employment statistics, one of the most important metrics policymakers use to gauge the overall strength of the economy. In the United States, the government measures unemployment using the Current Population Survey (CPS), which collects demographic and employment information from a wide range of Americans each month. In this exercise, we will employ the topics reviewed in the lectures as well as a few new techniques using the September 2013 version of this rich, nationally representative dataset (available online).

The observations in the dataset represent people surveyed in the September 2013 CPS who actually completed a survey. While the full dataset has 385 variables, in this exercise we will use a more compact version of the dataset, CPSData.csv, which has the following variables:

PeopleInHousehold: The number of people in the interviewee's household.

Region: The census region where the interviewee lives.

State: The state where the interviewee lives.

MetroAreaCode: A code that identifies the metropolitan area in which the interviewee lives (missing if the interviewee does not live in a metropolitan area). The mapping from codes to names of metropolitan areas is provided in the file MetroAreaCodes.csv.

Age: The age, in years, of the interviewee. 80 represents people aged 80-84, and 85 represents people aged 85 and higher.

Married: The marriage status of the interviewee.

Sex: The sex of the interviewee.

Education: The maximum level of education obtained by the interviewee.

Race: The race of the interviewee.

Hispanic: Whether the interviewee is of Hispanic ethnicity.

CountryOfBirthCode: A code identifying the country of birth of the interviewee. The mapping from codes to names of countries is provided in the file CountryCodes.csv.

Citizenship: The United States citizenship status of the interviewee.

EmploymentStatus: The status of employment of the interviewee.

Industry: The industry of employment of the interviewee (only available if they are employed).


### Section 1 - Loading and Summarizing the Dataset

#### 1.1 
Load the dataset from CPSData.csv into a data frame called CPS, and view the dataset with the summary() and str() commands.
131302
```{r}
CPS=CPSData
summary(CPS)
str(CPS)
```


#### 1.2 
Among the interviewees with a value reported for the Industry variable, what is the most common industry of employment? Please enter the name exactly how you see it.
```{r}
table(CPS$Industry)
```


#### 1.3 
Recall from the homework assignment "The Analytical Detective" that you can call the sort() function on the output of the table() function to obtain a sorted breakdown of a variable. For instance, sort(table(CPS$Region)) sorts the regions by the number of interviewees from that region.

Which state has the fewest interviewees?
New Mexico 
```{r}
sort(table(CPS$State))

```

Which state has the largest number of interviewees?
California
```{r}

```


#### 1.4 
What proportion of interviewees are citizens of the United States?
```{r}
table(CPS$Citizenship)
116639/131302

```

#### 1.5 
The CPS differentiates between race (with possible values American Indian, Asian, Black, Pacific Islander, White, or Multiracial) and ethnicity. A number of interviewees are of Hispanic ethnicity, as captured by the Hispanic variable. For which races are there at least 250 interviewees in the CPS dataset of Hispanic ethnicity? (Select all that apply.)

+ American Indian
+ Asian
+ Black
+ Multiracial
+ Pacific Islander
+ White

```{r}

```


### Section 2 - Evaluating Missing Values

#### 2.1

Which variables have at least one interviewee with a missing (NA) value? (Select all that apply.)

+ PeopleInHousehold
+ Region
+ State
+ MetroAreaCode
+ Age
+ Married
+ Sex
+ Education
+ Race
+ Hispanic
+ CountryOfBirthCode
+ Citizenship
+ EmploymentStatus
+ Industry

```{r}
summary(CPS)
```


#### 2.2 

Often when evaluating a new dataset, we try to identify if there is a pattern in the missing values in the dataset. We will try to determine if there is a pattern in the missing values of the Married variable. The function   

    is.na(CPS$Married) 

returns a vector of TRUE/FALSE values for whether the Married variable is missing. We can see the breakdown of whether Married is missing based on the reported value of the Region variable with the function 

    table(CPS$Region, is.na(CPS$Married))

Which is the most accurate:

+ The Married variable being missing is related to the Region value for the interviewee.
+ The Married variable being missing is related to the Sex value for the interviewee.
+ The Married variable being missing is related to the Age value for the interviewee.
+ The Married variable being missing is related to the Citizenship value for the interviewee.
+ The Married variable being missing is not related to the Region, Sex, Age, or Citizenship value for the interviewee.

```{r}
is.na(CPS$Married) 
table(CPS$Region, is.na(CPS$Married))

```


#### 2.3
As mentioned in the variable descriptions, MetroAreaCode is missing if an interviewee does not live in a metropolitan area. Using the same technique as in the previous question, answer the following questions about people who live in non-metropolitan areas.

How many states had all interviewees living in a non-metropolitan area (aka they have a missing MetroAreaCode value)? For this question, treat the District of Columbia as a state (even though it is not technically a state).
2



```{r}
table(CPS$State, is.na(CPS$MetroAreaCode))
```


How many states had all interviewees living in a metropolitan area? Again, treat the District of Columbia as a state.
3
```{r}

```

#### 2.4 
Which region of the United States has the largest proportion of interviewees living in a non-metropolitan area?

+ Midwest
+ Northeast
+ South
+ West

```{r}

```

#### 2.5 
While we were able to use the table() command to compute the proportion of interviewees from each region not living in a metropolitan area, it was somewhat tedious (it involved manually computing the proportion for each region) and isn't something you would want to do if there were a larger number of options. It turns out there is a less tedious way to compute the proportion of values that are TRUE. The mean() function, which takes the average of the values passed to it, will treat TRUE as 1 and FALSE as 0, meaning it returns the proportion of values that are true. For instance, mean(c(TRUE, FALSE, TRUE, TRUE)) returns 0.75. Knowing this, use tapply() with the mean function to answer the following questions:

Which state has a proportion of interviewees living in a non-metropolitan area closest to 30%?

```{r}

```


Which state has the largest proportion of non-metropolitan interviewees, ignoring states where all interviewees were non-metropolitan?


```{r}

```

### Section 3 - Integrating Metropolitan Area Data

Codes like MetroAreaCode and CountryOfBirthCode are a compact way to encode factor variables with text as their possible values, and they are therefore quite common in survey datasets. In fact, all but one of the variables in this dataset were actually stored by a numeric code in the original CPS datafile.

When analyzing a variable stored by a numeric code, we will often want to convert it into the values the codes represent. To do this, we will use a dictionary, which maps the the code to the actual value of the variable. We have provided dictionaries MetroAreaCodes.csv and CountryCodes.csv, which respectively map MetroAreaCode and CountryOfBirthCode into their true values. Read these two dictionaries into data frames MetroAreaMap and CountryMap.

#### 3.1

How many observations (codes for metropolitan areas) are there in MetroAreaMap?
271
```{r}
 str(MetroAreaMap) 
MetroAreaMap=MetroAreaCodes
CountryMap=CountryCodes
```

How many observations (codes for countries) are there in CountryMap?
149
```{r}
str(CountryMap)
```


#### 3.2
To merge in the metropolitan areas, we want to connect the field MetroAreaCode from the CPS data frame with the field Code in MetroAreaMap. The following command merges the two data frames on these columns, overwriting the CPS data frame with the result:

    CPS = merge(CPS, MetroAreaMap, by.x="MetroAreaCode", by.y="Code", all.x=TRUE)

The first two arguments determine the data frames to be merged (they are called "x" and "y", respectively, in the subsequent parameters to the merge function). by.x="MetroAreaCode" means we're matching on the MetroAreaCode variable from the "x" data frame (CPS), while by.y="Code" means we're matching on the Code variable from the "y" data frame (MetroAreaMap). Finally, all.x=TRUE means we want to keep all rows from the "x" data frame (CPS), even if some of the rows' MetroAreaCode doesn't match any codes in MetroAreaMap (for those familiar with database terminology, this parameter makes the operation a left outer join instead of an inner join).

Review the new version of the CPS data frame with the summary() and str() functions. What is the name of the variable that was added to the data frame by the merge() operation?


```{r}
CPS = merge(CPS, MetroAreaMap, by.x="MetroAreaCode", by.y="Code", all.x=TRUE)
summary(CPS)
str(CPS)

```

How many interviewees have a missing value for the new metropolitan area variable? Note that all of these interviewees would have been removed from the merged data frame if we did not include the all.x=TRUE parameter.

```{r}

```


#### 3.3
Which of the following metropolitan areas has the largest number of interviewees?

+ Atlanta-Sandy Springs-Marietta, GA
+ Baltimore-Towson, MD
+ Boston-Cambridge-Quincy, MA-NH
+ San Francisco-Oakland-Fremont, CA

```{r}
table(CPS$MetroArea)
```

#### 3.4
Which metropolitan area has the highest proportion of interviewees of Hispanic ethnicity? Hint: Use tapply() with mean, as in the previous subproblem. Calling sort() on the output of tapply() could also be helpful here.


```{r}

```


#### 3.5
Remembering that CPS$Race == "Asian" returns a TRUE/FALSE vector of whether an interviewee is Asian, determine the number of metropolitan areas in the United States from which at least 20% of interviewees are Asian.

```{r}
sort(tapply(CPS$Race == "Asian", CPS$MetroArea, mean))
```


#### 3.6
Normally, we would look at the sorted proportion of interviewees from each metropolitan area who have not received a high school diploma with the command:

    sort(tapply(CPS$Education == "No high school diploma", CPS$MetroArea, mean))

However, none of the interviewees aged 14 and younger have an education value reported, so the mean value is reported as NA for each metropolitan area. To get mean (and related functions, like sum) to ignore missing values, you can pass the parameter na.rm=TRUE. Passing na.rm=TRUE to the tapply function, determine which metropolitan area has the smallest proportion of interviewees who have received no high school diploma.

### Section 4 - Integrating Country of Birth Data

Just as we did with the metropolitan area information, merge in the country of birth information from the CountryMap data frame, replacing the CPS data frame with the result. If you accidentally overwrite CPS with the wrong values, remember that you can restore it by re-loading the data frame from CPSData.csv and then merging in the metropolitan area information using the command provided in the previous subproblem.

#### 4.1
What is the name of the variable added to the CPS data frame by this merge operation?

```{r}

```

How many interviewees have a missing value for the new country of birth variable?

```{r}

```

#### 4.2 
Among all interviewees born outside of North America, which country was the most common place of birth?

```{r}

```

#### 4.3
What proportion of the interviewees from the "New York-Northern New Jersey-Long Island, NY-NJ-PA" metropolitan area have a country of birth that is not the United States? For this computation, don't include people from this metropolitan area who have a missing country of birth.


```{r}

```


#### 4.4
Which metropolitan area has the largest number (note -- not proportion) of interviewees with a country of birth in India? Hint -- remember to include na.rm=TRUE if you are using tapply() to answer this question.

+ Boston-Cambridge-Quincy, MA-NH
+ Minneapolis-St Paul-Bloomington, MN-WI
+ New York-Northern New Jersey-Long Island, NY-NJ-PA
+ Washington-Arlington-Alexandria, DC-VA-MD-WV

```{r}

```

In Brazil?

+ Boston-Cambridge-Quincy, MA-NH
+ Minneapolis-St Paul-Bloomington, MN-WI
+ New York-Northern New Jersey-Long Island, NY-NJ-PA
+ Washington-Arlington-Alexandria, DC-VA-MD-WV

```{r}

```

In Somalia?

+ Boston-Cambridge-Quincy, MA-NH
+ Minneapolis-St Paul-Bloomington, MN-WI
+ New York-Northern New Jersey-Long Island, NY-NJ-PA
+ Washington-Arlington-Alexandria, DC-VA-MD-WV

```{r}

```






