You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately ˆp=90%p^=90%. You would like to be 99.5% confident that your esimate is within 1.5% of the true population proportion. How large of a sample size is required?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately ˆp=90%p^=90%. You would like to be 99.5% confident that your esimate is within 1.5% of the true population proportion. How large of a sample size is required? 

I must have tried this question and ones similiar to it a dozen times. Can you break this down for me so I understand I'm doing wrong? Thank you!

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