Question

1. In July 2018, a UVAToday article headline read “Only Half of Americans Believe Elections are Fair and Open”. The following statement can be found in the article: “In the Ipsos poll, which surveyed more than 1,000 American adults on July 5 and 6, 51 percent of the respondents agreed with the statement that American elections are fair and open.” The poll was based on a sample of 1,006 adults. For the following questions, refer only to the information provided in this paragraph.

A. Which inference procedure is appropriate to test if more than half of Americans agree that American elections are open and fair? Explain.

B. What is the parameter of interest for the test described in part A.?

C. What are the appropriate hypotheses for the test described in part A.?

D. Conduct the appropriate test with 10% significance.

E. Is the conclusion made from the test in part D. reliable? Explain.

F. Construct a 90% confidence interval to estimate the proportion of Americans who agree that American elections are open and fair.

G. Is the interval constructed in part F. reliable? Explain.

H. Does the interval found in part F. confirm the conclusion made in part D.?

I. What is the margin of error of the interval found in part F.?

Answer 1