(Solution) - How many TV households must Nielsen survey to estimate the -(2025 Original AI-Free Solution)

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How many TV households must Nielsen survey to estimate the percentage that are tuned to The Late Show with David Letterman? Assume that you want 97% confidence that your sample percentage has a margin of error of two percentage points. Also assume that nothing is known about the percentage of households tuned in to any television shows after 11 p.m.