(For the following question, use the methods described in lecture - do not use R prop.test(). You must use at least four decimal places for all intermediate calculations and your final answer)

A poll is taken in which359

359out of525

525randomly selected voters indicated their preference for a certain candidate.

(a) Find the "Large-Sample"95

95% confidence interval forp

p.

p

p

(b) Find the margin of error for this95

95% confidence interval forp

p.

(c) Without doing any calculations, indicate whether the margin of error is larger or smaller or the same for an 80% confidence interval.

A.smaller

B.larger

C.same