**Suppose that a researcher,using wage data on 250 randomly selected male workers and 280 female worker,estimates the simple model ****Wage= 12.52 + 2.12Male (3)**

**Where Wage ismeasured in dollars per hour and Male is a binary variable that is equal to 1if the person is a male and 0 if the person is a female. Define the wage gendergap as the difference in mean earnings between men and woman.**

**i) Interpret theslope and the intercept in the model (3).**

**ii) What is theestimated gender gap?**

**iii) Write the(null) hypothesis testing for the gender gap.**

**ii) Anotherresearcher uses these same data but regresses Wages and Female, a variable thatis equal to 1 if the person is female and 0 if the person is a male. What isthe regression estimates calculated from this regression? Show your work.**

**Wage = ___ +___Female**