6. The Gallup Poll regularly asks the following question of a random sample of Americans, "Do you approve or disapprove of the way the president is handling his or her job as president?" In J...
6. The Gallup Poll regularly asks the following question of a random sample of Americans, "Do you approve or disapprove of the way the president is handling his or her job as president?" In June 2007, 32% of respondents in a randon sample of 1,007 said that they approve of George W. Bush's performance in June 2008, 28% ofrespondents in an independent random sample of 1,625 Americans said they approve of President Bush. [12 points] a. Does the change between June 2007 and June 2008 represent a statistically significant decrease in President Bush's approval rating? Conduct an appropriate hypothesis test using a 0.05. [5 points] b. What kind of decision error might you have made in part (a)? [2 points] c. Construct an 80% confidence interval for the June 2007 to June 2008 change in President Bush's job approval rating. [4 points)
6. The Gallup Poll regularly asks the following question of a random sample of Americans, "Do you approve or disapprove of the way the president is handling his or her job as president?" In June 2007, 32% of respondents in a randon sample of 1,007 said that they approve of George W. Bush's performance in June 2008, 28% ofrespondents in an independent random sample of 1,625 Americans said they approve of President Bush. [12 points] a. Does the change between June 2007 and June 2008 represent a statistically significant decrease in President Bush's approval rating? Conduct an appropriate hypothesis test using a 0.05. [5 points] b. What kind of decision error might you have made in part (a)? [2 points] c. Construct an 80% confidence interval for the June 2007 to June 2008 change in President Bush's job approval rating. [4 points)