Everyone knows that most Geico commercials are funny, but do they actually help the company increase their sales of insurance? Geico is going to send out a survey to a random sample of its customers which aims to find out the reasons for their customers' decision to purchase an insurance policy with them. Customers will be able to select several options for why they chose to go with Geico, one of these reasons being "The hilarious commercials". If Geico wants to estimate the true proportion of their customers who chose to purchase their insurance at least in part due to their commericals with a margin of error of no more than 5% at 99% confidence, what is the minimum number of their customers who must be surveyed?
B)The resulting confidence interval from the Geico survey described in the previous questions spans from 0.678 to 0.762. If they decided to survey 750 customers, how many of them stated that "The hilarious commericals" played at least some role in them deciding to purchase Geico insurance?
C)What did the resulting margin of error for the Geico survey from the previous two questions end up being? Hint: it was less than 5%
