Assume that of 200 sophomores and 250 seniors at a university, 74 of the sophomores and 70 of the seniors voted for the same presidential candidate as their fathers in the last election. Assume that...

Assume that of 200 sophomores and 250 seniors at a university,

74 of the sophomores and 70 of the seniors voted for the same

presidential candidate as their fathers in the last election.

Assume that p1 is the true proportion of sophomores voting for

the same presidential candidate as their fathers and p2 is the

corresponding proportion for seniors.

(a) Test p1 = p2 versus p1 > p2 at significance level 0.05.

(b) Find a 95% confidence interval for p1 - p2•