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(Solved) Suppose the President wants an estimate of the proportion of the population that supports his current policy, The President wants the estimate

Question: Suppose the President wants an estimate of the proportion of the population that supports his current policy, The President wants the estimate to be within $0.04$ of the true proportion. Assume a \(95 \%\) level of confidence. The Secretary of State estimates the proportion supporting current policy to be \(60 \%\).

  1. How large a sample is required?
  2. How large would the sample have to be if the estimate by the Secretary of State is not available?

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