Question: A local community association wants to poll a random sample of its 305 members to estimate the proportion likely to attend a late spring function.

A local community association wants to poll a random sample of its 305 members to estimate the proportion likely to attend a late spring function. The number of sample observations should be sufficiently large to ensure that a 99% confidence interval for the population extends at most 0.05 on each side of the sample proportion. How large of a sample is necessary?

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