how large of a sample would be required for the commissioner to make the desired estimate?

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The state education commission wants to estimate the proportion of tenth-grade students in the state who read at or below the eight-grade level. The commissioner wants an estimate with a 99% level of confidence and an error of at most 5%?
 
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The commissioner found results from a previous study which reported a sample proportion of 22%. Using this estimate, how large of a sample would be required for the commissioner to make the desired estimate? Round your answer up to the next integer.
 
 
 
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The state education commission wants to estimate the proportion of tenth-grade students in the state who read at or below the eight-grade level. The commissioner wants an estimate with a 99% level of confidence and an error of at most 5%

 The commissioner found results from a previous study which reported a sample proportion of 22%.

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