(All Steps) The Director of a Museum would like to know what fraction of the museum associates make purchases through the gift shop catalogue. If no preliminary


Question: The Director of a Museum would like to know what fraction of the museum associates make purchases through the gift shop catalogue.

  1. If no preliminary study is done, how large a sample must be taken if the director is to say with 90% confidence that the sample estimate is within 2% of the population proportion?
  2. A preliminary study showed that out of 60 associates, 12 have used the gift shop catalogue. What size sample does the director need in order to say with 90% confidence that the sample estimate is within 2% of the population proportion?

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