Questions 2: (Total Points = 20) A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome is pain relief within 30 minutes. The data are shown below. Pain Relief No Pain Relief New medication (n = 120) 44 76 Placebo (n = 120) 21 99 Perform hypothesis testing at a 1% level of significance. To determine whether there a significant difference in the proportions of patients reporting pain relief. a. Specify the type of sample (i.e., one sample or two sample; independent or dependent samples) and outcome variable (i.e., dichotomous or continuous) for this study? b. What are the null and research hypotheses? c. For a level of significance of 1%, what should the researcher's decision rule? d. Calculate the appropriate test statistics for this data set. f. Based on the study outcome, what would be an appropriate conclusion on the patients' pain relief