8. Consider perception of a new policy between two groups of Americans, those that are politically conservative and those that are liberal. A sample of 42 conservatives is taken and the sample average is 4.55 (out of 10) with standard deviation of 1.75. A sample of 37 liberals is taken and the sample average is 4.67 (out of 10) with standard deviation of 1.33. (a) Write down an appropriate null and alternative hypothesis to see whether liberals and conserva- tives view the policy identically. (b) Construct an appropriate test statistic. (c) Test your hypothesis at all appropriate levels.