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1. Tests for adverse reactions to a new drug yielded the results given in the table. The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced). Drug Placebo Headaches 11 7 No Headaches 73 91 Notice that this situation involves two qualitative variables in which we have a table of observed values. Your calculator will give you a table of expected values when you run the test (See part (d)). a. Give the name of the hypothesis test that would be appropriate for this situation. (1 point) b. Two conditions that must be present in order to run this test are that the data must be given in counts and that the expected count in each cell must be at least 5. Have both of these conditions been met for this problem? (1 point) c. State the hypotheses in words. (2 points) d. Use your calculator to perform the appropriate hypothesis test and report the test statistic, P-value, and degrees of freedom. Be sure to write out what you entered in your calculator. Use a significance level of =0.05. (3 points) e. When you ran the test, you should have entered the table above as Matrix [A]. After running the test, you can find the table of expected values by going to MATRIX, choosing [B], and hitting ENTER twice. Write the table of expected values rounded to one decimal place. (2 points) f. Write a full conclusion for this test in the context of the problem. (2 points)

2 2. In a local school, vending machines offer a range of drinks from juices to sports drinks. The purchasing agent thinks each type of drink is equally favored among the students buying drinks from the machine. The recent purchasing choices from the vending machines are shown in the table. Drink Type/Flavor Lemon Lime Sports Drink Kiwi Strawberry Tropical Punch Grape Sports Drink Frequency 159 198 174 149 a. According to the purchasing agent, how many of each drink should you expect to get? (2 points) b. Notice that this situation involves only one qualitative variable in which we have one list of observed values and one list of expected values. Which test should you run? (1 point) c. State the hypotheses in words. (2 points) d. Use your calculator to perform the appropriate hypothesis test and report the test statistic and P-value. Be sure to write out what you entered in your calculator. (3 points) e. Write a full conclusion for this test in the context of the problem. Use a significance level of =0.1. (2 points