Question

8. In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.Voting records show that 61% of eligible voters actually did vote.a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.b) Are the survey results consistent with the actual voter turnout of 61%? Why or why not?c) How would the confidence interval change if we increased the confidence level to 99%? Findthe 99% confidence interval estimate to support your answer.

Answer 1

Here, we want to find the 95% confidence interval estimate of the proporton of people who say that they voted

The proportion of people who say they voted will be;

701/1002 = 0.70

The actual proportion of people that voted = 61% = 0.61

Mathematically, the confidence interval CI will be;