Question

Rasmussen Reports polled 1500 likely voters at random on July 8, 2020 and found that 660 approved of President Trump’s job performance. Rasmussen Reports polled 1500 likely voters on July 8, 2019 and found that 750 approved of President Trump’s job performance. Did President Trump’s job approval rating decrease? Use a significance level of ? = 0.05. Data retrieved from https://www.rasmussenreports.com/public_content/politics/trump_administration/prez_tra ck_jul24.

a) Give the name of the hypothesis test that would be appropriate for this situation. (1 point)

b) State the hypotheses in symbols. Make sure to define your variables first. (2 points)

c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Be sure to write out what you entered in your calculator. (3 points)

d) Write a full conclusion for this test in the context of the problem. (2 points)

e) Find a 90% confidence interval for the difference in President Trump’s approval rating from July 2019 to July 2020. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered. (3 points)

f) Does this confidence interval support your conclusion in part (e)? Explain. (2 points)

Answer 1