1) [11 pts] The Yale Project on Climate Change investigated views on global warming among the Republican Party. Republicans surveyed identied themselves as Liberal, Moderate, Conservative, or Tea Party Republicans and answered the question, \"Do you believe global warming is happening?\" Below is the data from 2329 randomly surveyed republicans. Republican Type and Opinion on Global Warming -- a) Is this a test of homogeneity or Independence? Justify. b) State the two hypotheses. c) Test for association between type of Republican and Opinion on Global warming at a = 0.05 and report the following: Test statistics: p-value degrees of freedom - Expected counts matrix Q - State the decision and conclusion: Extra credit (2 points): A report based on the survey and conclusions from question #1 is titled \"Not All Republicans think alike about Global Warming.\" Do the results of the hypothesis test support this headline? Explain. 2) [9 m1=A Tshirt shop owner at Fishermen's Wharf regularly orders Tshirt of each size in the following percentages: 10% small, 30% Medium, 30% large, 20% extra-large and 10% extra-extralarge. This week he sold the following t-shirts: 25 small, 61 medium, 71 large, 68 extra-large and 20 extra-exn'a-large. Assume this is a random sample. Conduct a hypothesis test to determine whether the distribution of sizes of Tshirts sold ts the distribution of sizes of Tshirts ordered at 5% signicance level. a) Complete the table of observed and expected counts. Large Observed Counts Expected counts b) State the null hypothesis c) State the alternate hypothesis (1) What is the x2 statistic? Jihat is the pvalue? 6) State the decision and the conclusion from the test