Suppose that a researcher. using wage data on 200 randomly selected male workers and 240 female workers estimates the OILS regression Wage = 10.73 + 1.73 x Male, 5:1 = 0.09.3512 = as. (0.15) {029) where Wage is measured in dollars per hour and Male is a binar}r 1amiable that is equal to 1 if the poison is a male and 0 if the person is a female. Dene 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 significanth,r different from (i? (Compute the p-value for testing the null hypothesis that there is no gender gap.) 1:. Construct a 95% condence interval for the gender gap. d. In the sample. what is the mean wage of women? 0f men? e. Another researcher uses these same data but regresses Wages on Female. 3 variable that is equal to 1 if the person is female and 0 if the person a male. What are the regression estimates calculated from this regression? Wage = + _ '2: Female. R2 = .SER =