Suppose that you are the manager of Macys store. Your goal is to increase and control the rate at which store cashiers can successfully sign customers up for Macys credit cards. For each of the eight store cashiers, you observed 50 interactions where the cashier made an attempt to sign a customer up for credit card. The data showed that there was a total of 16 cases in which the cashiers could successfully sign the customer up for a credit card.

If you do not want the lower limit to be below .0052, what z-value would this imply?

How confident can you be that the actual lower limit is greater than or equal to .0052?

(hint find the confidence level Make sure to use two sided option)