Estimating a Population Proportion

p ,46,48,50 p ,52,54,56

 The Harvard School of Public Health survey found that 2486 of a sample of 10,904 college undergraduates said they had engaged in frequent binge drinking. That is p-hat =.228.  Confirm that a confidence interval can be formed.  Create and interpret a 99% confidence interval.

 A company has received complaints about its customer service. They 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 critical question is the degree of satisfaction with the company’s customer service, measure on a five- point scale. The president wants to estimate the proportion p of customers who are satisfied.  If she wants to be 95% confident of being within 3% of the true proportion, what sample size should she use?