11.53 Gender gap in employment? In a town, 7600 out of 8500 graduates are males. Out of 1750 graduate employees, 1620 are males.

a. For these data, X2 = 23.24. What is its df value, and what is its approximate sampling distribution, if H0 is true?

b. For this test, the P-value < 0.001. Interpret in the context of these variables.

c. What decision would you make with a 0.05 significance level? Can you accept H0 and conclude that employment is independent of gender?