Question

Identify the null and alternative hypothesis, significance level, test that will be used, test statistic, P-value, conclusion
about the null hypothesis, and state the final conclusion that addresses the original claim in nontechnical terms.
In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing
significant relief from their symptoms. At the 0.10 significance level, test the claim that
more than half of all those using the drug experience relief.

Answer 1

Ans:

One proportion z test:

sample proportion=108/202=0.5347

n=202

Test statistic:

z=(0.5347-0.5)/sqrt(0.5*(1-0.5)/202)

z=0.99

p-value=P(z>0.99)=0.1611

As,p-value is greater than 0.10,we fail to reject the null hypothesis.

There is not sufficient evidence to support the claim that more than half of all those using the drug experience relief.