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 commission a sample of 560 viewers. After viewing the comedy, 450 indicated they would watch the new show and suggested it replace the crime investigation show.(Round the final answer to 3 decimal places.)

a. Estimate the value of the population proportion.

Estimate of proportion

b. Compute the standard error of the proportion.

Standard error of the proportion

c. Develop a 98% confidence interval for the population proportion.

The confidence interval is between ____ and ___ .

d. Interpret your findings.

We are reasonably sure the population proportion is between ___ and ____ %.