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41. A research question in the Heart and Estrogen Replacement study might be to test the claim that the proportion of diabetics is the same for regular exercisers and irregular exercisers. Test this claim with the data below. Frequency Table of EXERCISE by DIABETES Cell Chi-Square EXERCISE(exercise DIABETES(diabetes) at least 3 times per week) 0 Total 227 841 1068 10.924 3.9299 0 504 1191 1695 6.8832 2.4762 Total 731 2032 2763 What is the conclusion of the test? a. Because the test statistic which equals 2.4762 is below the critical value of 3.84, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest the proportion of diabetics differs by exercise group. b. Because the test statistic which equals 10.924 is above the critical value of 3.84, we reject the null hypothesis and conclude that there is enough evidence to suggest the proportion of diabetics differs by exercise group. c. Because the test statistic which equals 6.8832 is above the critical value of 3.84, we reject the null hypothesis and conclude that there is enough evidence to suggest the proportion of diabetics differs by exercise group. d. Because the test statistic which equals 3.9299 is above the critical value of 3.84, we reject the null hypothesis and conclude that there is enough evidence to suggest the proportion of diabetics differs by exercise group. e. Because the test statistic, which equals 24.2134, is above the critical value of 3.84, we reject the null hypothesis and conclude that there is enough evidence to suggest the proportion of diabetics differs by exercise group. 42. A matched case control study was conducted to study the relationship between stroke and oral contraceptive use in women aged 18 to 44 years of age. Within each pair, a case and a control were assessed for exposure to oral contraceptives. The following data were observed. Case Exposed Unexposed Control Exposed 2 5 Unexposed 44 55 12 What is the conclusion of the test? a. Because the test statistic of 29.47 exceeds the critical value of 3.84, we reject the null hypothesis and conclude that there is enough evidence to suggest that oral contraceptive use and stroke are associated. b. Because the test statistic of 29.47 exceeds the critical value of 3.84, we fail to reject the null hypothesis and conclude that there is enough evidence to suggest that oral contraceptive use and stroke are associated. c. Because the test statistic of 29.47 exceeds the critical value of 3.84, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that oral contraceptive use and stroke are associated. d. Because the test statistic of 29.47 exceeds the critical value of 3.84, we reject the null hypothesis and conclude that there is not enough evidence to suggest that oral contraceptive use and stroke are associated. e. Because the test statistic of 3.84 is smaller than the critical value of 29.47, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that oral contraceptive use and stroke are associated
