An independent bank concerned regarding its customer base decided to conduct a survey of bank customers. Out of 505 customers who returned the survey form, 258 rated the entire bank services as excellent. Null hypothesis = .46 & alternative hypothesi does not equal .46.
(a) Find a 90% confidence interval for the proportion of customers who would rate the overall bank services as excellent.
(b) The bank has 8200 customers. Convert your confidence interval for the proportion in part (a) into a 90% confidence interval for the total number of customers who would rate the overall bank services as excellent.