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1. Researchers comparing the effectiveness of two pain medications randomly selected a group of patients who had been complaining of a certain kind of joint pain. They randomly divided these people into two groups, then administered the pain killers. Of the 112 people in the group who receive medication A, 84 said this pain reliever was effective. Of the 108 people in the other group who received medication B, 66 reported that pain reliever was effective. You may assume all conditions for inference in this situation are met. (a) Conduct a hypothesis test to determine the strength of evidence for whether there is a difference in the effectiveness of these two pain relievers. Assume all conditions are met. Show the following steps: Hypotheses, test statistic, pvalue, evidence against the null, conclusion. (b) Calculate a 95% condence interval for the difference in the proportion of people who nd the two medications effective. Give an interpretation of this interval