The Physicians' Health Study is a very large, randomized, double blind study designed to "test the effects of low-dose aspirin...in the prevention of cardiovascular disease (CVD)." The subjects were 22,071 U.S. male physicians who were randomly assigned to be in either the low-dose aspirin group or the placebo group. Each participant was required to take the assigned pill every other day for five years. Of the 11,034 physicians who took the placebo, 189 suffered heart attacks during the study. Of the 11,037 physicians who took aspirin, 104 had heart attacks. (a) Which of the following is the appropriate null hypothesis for this study? The probability of a heart attack for those taking aspirin is lower than for those taking the placebo. The probability of a heart attack for those taking aspirin is greater than for those taking the placebo. The probability of a heart attack for those taking aspirin is the same as for those taking the placebo. The probability of a heart attack for those taking aspirin is different than for those taking the placebo. (b) Which of the following is the appropriate alternative hypothesis for this study? The probability of a heart attack for those taking aspirin is different than for those taking the placebo. The probability of a heart attack for those taking aspirin is lower than for those taking the placebo. The probability of a heart attack for those taking aspirin is greater than for those taking the placebo. The probability of a heart attack for those taking aspirin is the same as for those taking the placebo. (c) A simulation analysis was performed using the sample data, and the resulting p-value was 0/1000. Which of the following is the correct interpretation of this p-value? The results are not statistically significant. It is plausible that the probability of a heart attack for those taking aspirin is the same as for those taking the placebo. The results are not statistically significant. The sample results do not provide evidence that the probability of a heart attack for those taking aspirin is different than for those taking the placebo. The results are statistically significant. There is strong evidence that the probability of a heart attack for those taking aspirin is lower than for those taking the placebo. The results are statistically significant. The sample results do not provide evidence that the probability of a heart attack for those taking aspirin is lower than for those taking the placebo.
The Physicians' Health Study is a very large, randomized, double blind study designed to "test the effects of low-dose aspirin...in the prevention of cardiovascular disease (CVD)." The subjects were 22,071 U.S. male physicians who were randomly assigned to be in either the low-dose aspirin group or the placebo group. Each participant was required to take the assigned pill every other day for five years. Of the 11,034 physicians who took the placebo, 189 suffered heart attacks during the study. Of the 11,037 physicians who took aspirin, 104 had heart attacks.
(a) Which of the following is the appropriate null hypothesis for this study?
- The
probability of a heart attack for those taking aspirin is lower than for those taking the placebo. - The probability of a heart attack for those taking aspirin is greater than for those taking the placebo.
- The probability of a heart attack for those taking aspirin is the same as for those taking the placebo.
- The probability of a heart attack for those taking aspirin is different than for those taking the placebo.
(b) Which of the following is the appropriate alternative hypothesis for this study?
- The probability of a heart attack for those taking aspirin is different than for those taking the placebo.
- The probability of a heart attack for those taking aspirin is lower than for those taking the placebo.
- The probability of a heart attack for those taking aspirin is greater than for those taking the placebo.
- The probability of a heart attack for those taking aspirin is the same as for those taking the placebo.
(c) A simulation analysis was performed using the sample data, and the resulting p-value was 0/1000. Which of the following is the correct interpretation of this p-value?
- The results are not statistically significant. It is plausible that the probability of a heart attack for those taking aspirin is the same as for those taking the placebo.
- The results are not statistically significant. The sample results do not provide evidence that the probability of a heart attack for those taking aspirin is different than for those taking the placebo.
- The results are statistically significant. There is strong evidence that the probability of a heart attack for those taking aspirin is lower than for those taking the placebo.
- The results are statistically significant. The sample results do not provide evidence that the probability of a heart attack for those taking aspirin is lower than for those taking the placebo.
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