In a clinical study of an allergy drug, 108 of the 200 subjects reported experie
ID: 3153142 • Letter: I
Question
In a clinical study of an allergy drug, 108 of the 200 subjects reported experiencing significant relief from their symptoms. Test the claim that more than half of all those using the drug experience relief. Which statement best describes the results of your hypothesis test?
A. The sample data suggest that the proportion that experience relief is not greater than 0.50.
B. The sample data suggest that the proportion that experience relief is greater than 0.54.
C. The sample data suggest that the proportion that experience relief is greater than 0.50
D. The sample data suggest that the proportion that experience relief is not greater than 0.54.
Explanation / Answer
Compute 1-proportion Z test to test the claim.
Z=(Ps-Pu)/sqrt [Pu(1-Pu)/N], where Ps is sample proportion, Pu is population proportion and N is sample size.
Ps=108/200=0.54
Z=(0.54-0.5)/sqrt[0.5(1-0.5)/200]
=1.13
The p avlue is 0.1292.
The p value is not less than alpha=0.05. Therefore, fail to reject null hypothesis. There is not sufficient sample evidence to conclude that more than half of those using the drug experince releif.
Option A.