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The Fox TV network is considering replacing one of its prime-time crime investigation shows with a...

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives designed an experiment to estimate the proportion of their viewers who would prefer the comedy show over the crime investigation show. A random sample of 400 viewers was selected and asked to watch the new comedy show and the crime investigation show. After viewing the shows, 250 indicated they would watch the new comedy show and suggested it replace the crime investigation show. (Round your answers to 3 decimal places.)

a. Estimate the value of the population proportion.

b. Determine the 99% confidence interval for the population proportion.

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