Just before the 2004 Democratic National convention, Rasmussen Reports polled 1500 likely voters at random and found that 705 favored John Kerry. Just after the convention, they took another random sample of 1500 likely voters and found that 735 favored Kerry. Did Kerry’s favorability rating increase after the national convention? Use a significance level of ? = 0.05. a) Write a full conclusion for this test in the context of the problem. b) Find a 90% confidence interval for the difference in John Kerry’s favorability rating before and after the convention. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered. c) Does this confidence interval support your conclusion in part (a)? Explain.
Just before the 2004 Democratic National convention, Rasmussen Reports polled 1500 likely voters at random and found that 705 favored John Kerry. Just after the convention, they took another random sample of 1500 likely voters and found that 735 favored Kerry. Did Kerry’s favorability rating increase after the national convention? Use a significance level of ? = 0.05.
a) Write a full conclusion for this test in the context of the problem.
b) Find a 90% confidence interval for the difference in John Kerry’s favorability rating before and after the convention. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered.
c) Does this confidence interval support your conclusion in part (a)? Explain.
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