Question 1159617: In clinical trials of Nasonex, 3774 patients were randomly divided into two groups. The patients in group 1 (experimental group) received 200 milligrams of Nasonex, while the patients in group 2 (control group) received a placebo. Of the 2103 patients in the experimental group, 547 reported headaches as a side effect. Of the 1671 patients in the control group, 368 reported headaches as a side effect. Is there significant evidence to conclude that the proportion of Nasonex users who experienced headaches as a side effect is greater than the proportion in the control group at the alpha = 0.05 level of significance? To answer this, complete the following steps.
(a) State the appropriate Null Hypothesis and Alternate Hypotheses
(b) Find the appropriate “p of hat” for the experimental group.
(c) Check the appropriate criteria to continue the appropriate testing has been met.
(d) Use your calculator to directly find the z-score and p-value for this situation.
(e) Complete your analysis and explain what your results determine about the hypothesis statements for this situation.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Random sample and large enough to test using 2-sample proportion test
p1 hat for experimental is 0.2601
p2 hat for placebo is 0.2202
Ho: experimental is less than or equal to p2
Ha: experimental is more than p2
alpha=0.05 p{reject Ho|Ho true}
test statistic is a z 0.95
reject if z>1.645
test
z=(p1 hat-p2 hat)/SE
z=2.84
p-value=0.0023
reject Ho and conclude there is ample evidence to say that there frequency of headaches as a side effect is greater in the experimental group than in the control group.
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