Direct Satellite Television:A Texas-based direct satellite televisioncompany wants to expand its operations in the West Coast. They want to obtain new estimates of the true population of homes in the West Coast that have a direct satellite television receiver.Based on previous data, 25% of US homes in the West Coast have a direct satellite television receiver.

a)How large a sample is needed if they want their estimate to be within two percentage points of the true percentage of US homes with 99% confidence level?Use the rounding rule for the sample size.

b) How large a sample is necessary if nothing is known about the actual proportion of US homes in the West Coast that have a direct satellite TV receiver?Use the rounding rule for the sample size.