A Hypothesis Test Is to Be Performed $28 \%$ Of Those Taking the Placebo Reported Improvement

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-In a clinical study of an arthritis medication, $28 \%$ of those taking the placebo reported improvement. The manufacturer of the medication claims that among those taking the medication, the proportion reporting improvement will be higher than this.
The hypotheses are as follows:
Null hypothesis: proportion reporting improvement $= 28 \%$
Alternative hypothesis: proportion reporting improvement $> 28 \%$

A) Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is not equal to $28 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion reporting improvement is greater than $28 \%$
B) Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is greater than $28 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion reporting improvement is equal to $28 \%$
C) Rejecting the alternative hypothesis means there is evidence that the proportion reporting improvement is equal to $28 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion reporting improvement is equal to $28 \%$
D) Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is greater than $28 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion reporting improvement is greater than $28 \%$

Correct Answer:

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