An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his election campaign. a. Calculate a 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws. (Round your answers to three decimal places.) Lower Limit Upper Limit 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? At a 95% confidence level, the limit of the confidence interval is 38%. 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?
An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his election campaign.
a. Calculate a 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws. (Round your answers to three decimal places.)
| Lower Limit | |
| Upper Limit |
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?
At a 95% confidence level, the limit of the confidence interval is 38%.
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?
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