Question: Suppose that the standard error is $0.04$ and the confidence level is \(99 \% . \quad\) (5 pts each)

1. If you have no prior knowledge of the sample proportion \(\hat{p}\), what is the sample size required?
2. A previous study shows that \(\hat{p}\) is estimated by 0.13. What is the sample size required?
3. Explain why the sample size from part \(\mathrm{b}\) is necessarily smaller than the one you found in part a.

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