Could you help me with the question below. for a, I have gotten 228 and it comes up as wrong.

Suppose a researcher wants to estimate the difference in percentages of men and women who say they have used or expect to use televised home shopping. He wants a 80

80% confidence interval of width 0.06

0.06 or less.

a. Approximately how many people should be included in thesamples?

b. Suppose the researcher wants to obtain individual estimates for the two percentages of interest. Will the sample size found in part a be large enough to provide estimates of each percentage correct to within 0.01

with probability equal to

0.90?