Question: A local television station wishes to estimate the percentage of a target market that has a favorable impression of its evening show. The manager wants to estimate within +/- 4.5% of the true population proportion with a 92% confidence level. A pilot sample of 48 people was selected, and the proportion in this sample a favorable impression was 0.56.

a. Based on this information, how many more people must be surveyed?

b. What is the margin of error in the pilot sample? (Assume the same confidence level of 92%).