A study was performed to test the effectiveness of aspirin in the treatment of strokes. There were 200 patients in the study. A random sample of 110 of these patients were placed in the “aspirin” group, and the remaining 90 in the “control” group. After six months of treatment, all the patients were evaluated and their condition recorded as either favorable or unfavorable. Of the 110 “aspirin” patients, 72 had favorable outcomes; of the 90 “control” patients, 53 had favorable outcomes. We want to test the null hypothesis that the percentage of favorable outcomes is the same between the two conditions. Write down the box model for the null hypothesis as a sentence or picture of the box. Under the null hypothesis, the difference in the sample percentages is expected to be ________%, and the standard error for the difference is ________%. Calculate the appropriate two-sample z test statistic. Calculate the p-value and express what it means in plain words. Do you reject the null hypothesis? State your conclusion in the context of the original problem.
A study was performed to test the effectiveness of aspirin in the treatment of strokes. There were 200 patients in the study. A random sample of 110 of these patients were placed in the “aspirin” group, and the remaining 90 in the “control” group. After six months of treatment, all the patients were evaluated and their condition recorded as either favorable or unfavorable. Of the 110 “aspirin” patients, 72 had favorable outcomes; of the 90 “control” patients, 53 had favorable outcomes. We want to test the null hypothesis that the percentage of favorable outcomes is the same between the two conditions.
Write down the box model for the null hypothesis as a sentence or picture of the box.
Under the null hypothesis, the difference in the sample percentages is expected
to be ________%, and the standard error for the difference is ________%.
Calculate the appropriate two-sample z test statistic.
Calculate the p-value and express what it means in plain words.
Do you reject the null hypothesis? State your conclusion in the context of the original problem.
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a) Under the null hypothesis, the difference in the sample percentages is expected
to be ________%, and the standard error for the difference is ________%.
b) Calculate the appropriate two-sample z test statistic.
c) Calculate the p-value and express what it means in plain words.
d) Do you reject the null hypothesis? State your conclusion in the context of the original problem.
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