In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache. 1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis. Ha: p1 - p2 ≠ 0 Ha: p1 - p2 > 0 Ha: p1 - p2 < 0 2. It seems that the sample sizes of 200 and 100 should be sufficiently large enough to use a normal approximation to compute the p-value. Provide verification that the sample sizes are large enough. 3. Which of the following is the corresponding test statistic for testing the hypotheses in question 1? 0.76 0.96 1.16 1.36
In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache.
1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis.
-
Ha: p1 - p2 ≠ 0
-
Ha: p1 - p2 > 0
- Ha: p1 - p2 < 0
2. It seems that the sample sizes of 200 and 100 should be sufficiently large enough to use a normal approximation to compute the p-value. Provide verification that the sample sizes are large enough.
3. Which of the following is the corresponding test statistic for testing the hypotheses in question 1?
-
0.76
-
0.96
-
1.16
-
1.36
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