A company has received complaints about its customer service. The managers intend to hire a consultant to carry out a survey of customers. Before contacting the consultant, the company president wants...

A company has received complaints about its customer service. The managers intend to hire a
consultant to carry out a survey of customers. Before contacting the consultant, the company
president wants some idea of the sample size that she will be required to pay for. One value of
interest is the proportion p of customers who are satisfied with the company’s customer service.
She decides that she wants the estimate to be within 3 percentage points (0.03) at a 95%
confidence level.
1. Using a conservative estimate for �, how large of a sample is needed?