A study was performed to test the effectiveness of aspirin in the treatment of strokes. There were 155 patients in the study. A random sample of 78 of these patients were placed in the “aspirin” group, and the remaining 77 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 78 “aspirin” patients, 63 had favorable outcomes; of the 77 “control” patients, 43 had favorable outcomes. We want to test the null hypothesis that the percentage of favorable outcomes is the same between the two conditions. (a) Write down the box model for the null hypothesis as a sentence or picture of the box. (b) Under the null hypothesis, the difference in the sample percentages is expected to be ________%, and the standard error for the difference is ________%. (c) Calculate the appropriate two-sample z test statistic.
A study was performed to test the effectiveness of aspirin in the treatment of
strokes. There were 155 patients in the study. A random sample of 78 of these
patients were placed in the “aspirin” group, and the remaining 77 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 78 “aspirin” patients,
63 had favorable outcomes; of the 77 “control” patients, 43 had favorable
outcomes. We want to test the null hypothesis that the percentage of favorable
outcomes is the same between the two conditions.
(a) Write down the box model for the null hypothesis as a sentence or picture of the
box.
(b) Under the null hypothesis, the difference in the sample percentages is expected
to be ________%, and the standard error for the difference is ________%.
(c) Calculate the appropriate two-sample z test statistic.
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