PLEASE SHOW CALCULATOR STEPS INCLUDING WHAT YOU INPUT FOR THETESTS Just before the 2004 Democratic convention, Rasmussen Reportspolled 1500 likely voters at random and found that 705 favored JohnKerry. Just after the convention, they took another random sampleof 1500 likely voters and found that 735 favored Kerry. Did Kerry’sfavorability rating increase after the national convention? Use asignificance level of a = 0.05.

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

b) State the hypotheses in symbols. (2 points)

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

d) Make a sketch of the test distribution. Be sure to label thetest statistic and p-value. (2 points)

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

f) Find a 90% confidence interval for the difference in JohnKerry’s favorability rating before and after the convention. Do notmake these calculations by hand. Instead, use the correct commandin your graphing calculator and write out what you entered. (3points)

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