state education commission wants to estimate the fraction of tenth-grade students

example Question for estimating sample size

The state education commission wants to estimate the fraction of tenth-grade students that have reading skills at or below the eight grade level. In an earlier study, the population proportion was estimated to be 0.16.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99% confidence level with an error of at most 0.03? Round your answer up to the next integer.