$e=z\sqrt[\phantom{2}]{\frac{PQ}{n}},n=\frac{z^2(pq)}{e^2},n=\frac{x^2{z}^2}{e^2}$

Lerry Mccombs is the owner of several Quirnos Subs sandwich shops in Anytown. He is interested in knowing what percentage of the population in Anytown is aware of his store's name, mernu, and locations $-$ theee factors for which he has attempted to build awareness. His advertising agency quoted him a price for a survey and told him they would use a sample stae of $180,$ and that they were assuming $39$ percent of the respondents would be aware of his advertising. Jack wants the percentage to be within $13$ percent of the real population percentage, and he wants to be $99$ percent confident of the accuracy of the results. What wrould be the sample error if Jack were to use the ad agency survey pecommendation?