Not sure how to do part a-e

Show transcribed image text Suppose that a researcher, using wage data on 250 randomly selected male workers and 280 female workers, estimates the OLS regression, 4.2 Wage = 12.68 + 2.79 Male, R-= 0.06, SER-3.10 (0.18) (0.84) where Wage is measured in S/hour and Male is a binary variable that is equal to one if the person is a male and 0 if the person is a female. Define the wage gender gap as the difference in mean earnings between men and women. a. What is the estimated gender gap? b. Is the estimated gender gap significantly different from zero? (Compute the p-value for testing the null hypothesis that there is no gender gap.) c. Construct a 95% confidence interval for the gender gap. d. In the sample, what is the mean wage of women? Of men? e. Another researcher uses these same data, but regresses Wages on Female, a variable that is equal to one if the person is female and zero if the person a male. What are the regression estimates calculated from this regression? wage = Felliale, R? SER =

Suppose that a researcher, using wage data on 250 randomly selected male workers and 280 female workers, estimates the OLS regression, 4.2 Wage = 12.68 + 2.79 Male, R-= 0.06, SER-3.10 (0.18) (0.84) where Wage is measured in S/hour and Male is a binary variable that is equal to one if the person is a male and 0 if the person is a female. Define the wage gender gap as the difference in mean earnings between men and women. a. What is the estimated gender gap? b. Is the estimated gender gap significantly different from zero? (Compute the p-value for testing the null hypothesis that there is no gender gap.) c. Construct a 95% confidence interval for the gender gap. d. In the sample, what is the mean wage of women? Of men? e. Another researcher uses these same data, but regresses Wages on Female, a variable that is equal to one if the person is female and zero if the person a male. What are the regression estimates calculated from this regression? wage = Felliale, R? SER =