A hypothesis test is to be performed. State the null and alternative hypotheses. -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. A) Null hypothesis: proportion reporting improvement $ 28 \%$ Alternative hypothesis: proportion reporting improvement $= 28 \%$ B) Null hypothesis: proportion reporting improvement $= 28 \%$ Alternative hypothesis: proportion reporting improvement $ 28 \%$ C) Null hypothesis: proportion reporting improvement $= 28 \%$ Alternative hypothesis: proportion reporting improvement $\geq 28 \%$ D) Null hypothesis: proportion reporting improvement $ 28 \%$

Question

A hypothesis test is to be performed. State the null and alternative hypotheses.
-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.
A) Null hypothesis: proportion reporting improvement $> 28 \%$
Alternative hypothesis: proportion reporting improvement $= 28 \%$
B) Null hypothesis: proportion reporting improvement $= 28 \%$
Alternative hypothesis: proportion reporting improvement $> 28 \%$
C) Null hypothesis: proportion reporting improvement $= 28 \%$
Alternative hypothesis: proportion reporting improvement $\geq 28 \%$
D) Null hypothesis: proportion reporting improvement $< 28 \%$
Alternative hypothesis: proportion reporting improvement $> 28 \%$

Quizplus · Accepted Answer

The null hypothesis typically states that there is no effect or no difference, so it would assert that the proportion reporting improvement is equal to 28%. The alternative hypothesis is what the study aims to support, which in this case is that the proportion reporting improvement with the medication is higher than 28%.

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

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