The FBI wants to determine the effectiveness of their 10 Most Wanted list
. To do so, they need to find out the fraction of people who appear on the list that are actually caught. In an earlier study, the population proportion
was estimated to be
0.27
How large a sample would be required in order to estimate the fraction of people who are captured after appearing on the 10 Most Wanted list at the 99% confidence
level with an error of at most 0.04? Round your answer up to the next integer.