You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately of the population have the genetic marker. You would like to be 98% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required?

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You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately of the population have the genetic marker. You would like to be 98% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required? 

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