Question: An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his election campaign.
a. Find a 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws. Does the result of the poll convince you that fewer than 38% of all U.S. citizens favor that viewpoint?
b. Suppose 10,000 (not 900) people are surveyed and 36% believe that the governor broke campaign financing laws. Would you now be convinced that fewer than 38% of all U.S. citizens favor that viewpoint? Why is your answer different than in part a?
c. How many people would you have to survey to be 99% confident that you can estimate to within 1% the fraction of people who believe the governor broke campaign financing laws?