a. Show that the standard error of an estimated proportion is largest when p = 1/2....

a. Show that the standard error of an estimated proportion is largest when p = 1/2.

b. Use this result and Corollary B of Section 7.3.2 to conclude that the quantity

is a conservative estimate of the standard error of ˆp no matter what the value of p may be.

c. Use the central limit theorem to conclude that the interval

contains p with probability at least .95.