A famous 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 commission a sample of 400 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show.

1. Estimate the value of the population proportion.
2. Compute the standard error of the proportion.
3. Develop a 99% confidence interval for the population proportion.
4. Interpret your findings.