Please use the wage dataset from Problem Set 1. Unless otherwise specified, use = 0.05. Specify the hypothesis test for each part/subpart and, when relevant, degrees of freedom.

1. The Bureau of Labor Statistics reports that the union rate for women was 14.6% nationally in 1983. Test that the union rate was the same in 1988 when this sample was taken.
2. In 1986, the Survey of Income and Program Participation (SIPP) reported that 10% of women ages 35-39 and 5.3% of women ages 40-44 had never married. Test these two proportions against the sample data.

3. Test

for wage equality across the following groups

1. a)Non-union and union workers
2. b)Married and never-married workers
3. c)White and non-white workers
4. d)College-educated, non-white workers and non-college-educated, white workers
5. e)Southern and non-southern workers
6. f)Within union members, those who work above the median hours and those who work below
7. median hours
8. g)Within union members, those with above-median tenure and those with below-median tenure

4. Test

a) College graduates vs. not

for wage equality across the following groups:

b) (Professional or managerial) vs. not

Compare the results across these two tests, including the p-values. Are they surprising? Why or why not?