Discuss the rationale for hypothesis testing. Refer to the comparison of the ass

Question

Discuss the rationale for hypothesis testing. Refer to the comparison of the assumption and the sample results. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug

Explanation / Answer

Q24.

Given that,
possibile chances (x)=108
sample size(n)=202
success rate ( p )= x/n = 0.5347
success probability,( po )=0.5
failure probability,( qo) = 0.5
null, Ho:p=0.5
alternate, H1: p>0.5
level of significance, = 0.01
from standard normal table,right tailed z /2 =2.33
since our test is right-tailed
reject Ho, if zo > 2.33
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.53465-0.5/(sqrt(0.25)/202)
zo =0.985
| zo | =0.985
critical value
the value of |z | at los 0.01% is 2.33
we got |zo| =0.985 & | z | =2.33
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value: right tail - Ha : ( p > 0.98504 ) = 0.1623
hence value of p0.01 < 0.1623,here we do not reject Ho
ANSWERS
---------------
null, Ho:p=0.5
alternate, H1: p>0.5
test statistic: 0.985
critical value: 2.33
decision: do not reject Ho
p-value: 0.1623

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