10.77 Belief depend on gender? Refer to the previous exercise.

a. Find the standard error of 1pn 1 - pn 22 for a test of H0: p1 = p2.

b. For a two-sided test, find the test statistic and P-value and make a decision using significance level 0.05.

Interpret.

c. Suppose that actually p1 = 0.81 and p2 = 0.72. Was the decision in part b in error?

d. State the assumptions on which the methods in this exercise are based.