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Suppose you need to estimate a population proportion p with

Suppose you need to estimate a population proportion p with a 95% confidence interval of total width 0.06. How large should your sample be? If the total width is to remain the same, but confidence set to 99%, how large should the sample be? If the confidence level can be kept at 95%, but the total width is to be halved, how large should the sample be?

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