Question

The FBI wants to determine the effectiveness of their 1010 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 0.38

How large a sample would be required in order to estimate the fraction of people who are captured after appearing on the 1010 Most Wanted list at the 95% confidence level with an error of at most 0.04? Round your answer up to the next integer.

Answer 1

From standard normal tables, we have:
P(-1.96 < Z < 1.96) = 0.95

The margin of error here is computed as:

Therefore 566 is the sample size required here.