A random sample of 75 aluminum cans is selected from a large shipment and each is tested for strength.
a. If 51 cans meet the specifications, find a 97% confidence interval estimate for the proportion of cans in the shipment that meet the specifications.
b. Find the sample size needed for a 97% confidence interval to estimate the proportion to within 0.02. (Hint: treat your random sample as the pilot sample)