A study to determine the effectiveness of a drug (serum) for the treatment of arthritis

Chapter 14, Problem 14.22

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A study to determine the effectiveness of a drug (serum) for the treatment of arthritis resulted in the comparison of two groups each consisting of 200 arthritic patients. One group was inoculated with the serum whereas the other received a placebo (an inoculation that appears to contain serum but actually is not active). After a period of time, each person in the study was asked whether his or her arthritic condition had improved. The results in the accompanying table were observed. Do these data present sufficient evidence to indicate that the proportions of arthritic individuals who said their condition had improved differed depending on whether they received the serum? Condition Treated Untreated Improved 117 74 Not improved 83 126 a Test by using the X2 statistic. Use = .05. b Test by using the Z test of Section 10.3 and = .05. Compare your result with that in part (a). c Give bounds for the attained significance level associated with the test in part (a).