620 We sometimes hear that getting married is good for your

6.20) We sometimes hear that getting married is good for your career. Table 6.2 presents data from the U.S. Census Bureau that classifies men, ages 45–64, according to marital status and annual income in 2011–12. We include only data on men, ages 45–64, to avoid sex bias and reduce the effect of age.

table is

6.20) We sometimes hear that getting married is good for your career. Table 6.2 presents data from the U.S. Census Bureau that classifies men, ages 45–64, according to marital status and annual income in 2011–12. We include only data on men, ages 45–64, to avoid sex bias and reduce the effect of age.

Data Set

Salary   Staus   Count

No income   Single   513

\"1-49,999\"   Single   3323

\"50,000-99,999\"   Single   814

\"100,000 and over\"   Single   288

No income   Married   995

\"1-49,999\"   Married   13478

\"50,000-99,999\"   Married   8492

\"100,000 and over\"   Married   5167

No income   Divorced   385

\"1-49,999\"   Divorced   3678

\"50,000-99,999\"   Divorced   1316

\"100,000 and over\"   Divorced   544

No income   Widowed   25

\"1-49,999\"   Widowed   453

\"50,000-99,999\"   Widowed   128

\"100,000 and over\"   Widowed   49

Not at all scientific : junior college : 44 bachelor: 122 graduate : 71

very or sort of scientific : junior college : 31 Bachelor : 62 Graduate : 27

Step 1:

Which of the below is the marginal distribution (in percents) for marital status?

5.24% 92.64% 1.65% 0.47%

14.84% 31.00% 26.98% 23.81%

12.45% 70.95% 14.94% 1.65%

11.60% 51.48% 30.24% 6.69%

Step 2:

Which of the below is the marginal distribution (in percents) for income?

5.24% 92.64% 1.65% 0.47%

14.84% 31.00% 26.98% 23.81%

4.09% 93.87% 1.53% 0.51%

4.84% 52.79% 27.11% 15.25%

Step 3:

Do each of the two sets of percents in your previous answers add to exactly 100.00%? Note, use the percents exactly as they appear in the choices of your previous answers.

Neither adds up to 100.00%.

They both add up to 100.00%.

Only the job grade marginal distribution adds up to 100.00%.

Only the marital status marginal distribution adds up to 100.00%.

Solution

Step1:

Total count of men = 39648

Number of men which are single = 513+3323+814+288=4938

Percentage of men which are single = (4938/39648)*100 = 12.45%

Number of men which are married = 995+13478+8492+5167=28132

Percentage of men which are married = (28132/39648)*100 = 70.95%

Number of men which are divorsed= 385+3678+1316+544=5923

Percentage of men which are divorsed = (5923/39648)*100 = 14.94%

Number of men which are widowed = 25+453+128+49=655

Percentage of men which are widowed = (655/39648)*100 = 1.65%

The marginal distribution for marital status is:12.45% 70.95%   14.94%  1.65%

Step2:

Number of men who dont have income = 513+995+385+25=1918

% of men with no income=(1918/39648)*100=4.84%

Number of men who have income between [1 ,49999] = 3323+13478+3678+453 =20932

% of men who have income between [1 ,49999] =(20932/39648)*100=52.79%

Number of men who have income between [50000 ,99999] = 814+8492+1316+128 =10750

% of men who have income between [50000 ,99999] =(10750/39648)*100=27.11%

Number of men who have income 100000 and over= 288+5167+544+49 =6048

% of men who have income 100000 and over =(6048/39648)*100=15.25%

The marginal distribution for income is: 4.84% 52.79% 27.11%  15.25%

Step3: Neither of them adds up to 100.00% (because of rounding up to 2 digits after decimal)

Sum of marginal distribution of marital status = 99.99 %

Sum of marginal distribution of income = 99.99 %