Netflix is considering a new romcom (romantic comedy) series. Before making a final decision, the producers design an experiment to estimate the proportion of viewers who would watch the series. A random sample of 640 viewers was selected and asked to watch the first two episodes. After viewing the episodes, 400 viewers indicated they would watch the new series.(Round your answers to 3 decimal places.)

a.Estimate the value of the population proportion of people who would watch the new series.

b.Develop a 99% confidence interval for the population proportion of people who would watch the new series.