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 119 people in the group who received medication A, 82 said it was effective. Of the 116 in the other group, 63 said pain reliever B was effective. Complete parts a through f. a) Write a 95% confidence interval for the percent of people who may get relief from this kind of joint pain by using medication A. Interpret your interval. Choose the correct answer below, and fill in the answer boxes to complete your choice. O A. We are 95% confident, based on this study, that between |% and % of patients with joint pain will find medication A effective. (Round to one decimal place as needed.) O B. The proportion of patients with joint pain who will find medication A effective is 5% from the interval ( % %). (Round to one decimal place as needed.) O C. We are 95% confident that in this study between % and |% of patients with joint pain found medication A effective. (Round to one decimal place as needed.) b) Write a 95% confidence interval for the percent of people who may get relief by using medication B. Interpret your interval. Choose the correct answer below, and fill in the answer boxes to complete your choice. O A. The proportion of patients with joint pain who will find medication B effective is 5% from the interval (% %). O B. We are 95% confident that in this study between % and % of patients with joint pain found medication B effective. (Round to one decimal place as needed.) O C. We are 95% confident, based on this study, that between % and % of patients with joint pain will find medication B effective. c) Do the intervals for A and B overlap? What do you think this means about the comparative effectiveness of these medications? A. No, they do not overlap. This indicates that there is a difference in the effectiveness of the medications. O B. Yes, they overlap. This indicates that there is no difference in the effectiveness of the medications. O C. Yes, they overlap. This might indicate no difference in the effectiveness of the medications, although this is not a proper test. O D. No, they do not overlap. This might indicate that there is a difference in the effectiveness of the medications, although this is not a proper test. d) Find a 95% confidence interval for the difference in the proportions of people who may find these medications effective. Interpret your interval. Choose the correct answer below, and, if necessary, fill in the answer boxes to complete your choice. O A. We are 95% confident that the proportion of patients who will find B effective is % to % higher than the proportion who will find A effective. (Round to one decimal place as needed.) O B. We are 95% confident that the proportion of patients who will find A effective is % to % higher than the proportion who will find B effective. (Round to one decimal place as needed.) O C. These data do not show evidence of a difference in the effectiveness of medications A and B. Click to select your