(See Solution) A market research company wishes to estimate the proportion of television viewers who watch a particular prime-time comedy shown on Friday


Question: A market research company wishes to estimate the proportion of television viewers who watch a particular prime-time comedy shown on Friday evenings.

  1. How large should the sample size be so that a 95% confidence interval for the population proportion has a margin of error of 0.04? Assume that a preliminary sample suggests the proportion is 0.30.
  2. Assuming the results of a preliminary survey are not available, what is the most conservative estimate of the sample size that would limit the margin of error to within 0.04 of the population proportion for an 85% confidence interval?

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