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

question 202

Multiple Choice

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 \(> 28 \%\)

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Definitions:

Ecosystem

A community of living organisms interacting with each other and their physical environment.

Vulnerable

A state of being open to harm, damage, or illness, either physically, emotionally, or environmentally.

Invader Species

Organisms introduced to a new habitat where they proliferate and can outcompete native species, also known as invasive species.

Invader Species

Non-native species introduced to a new environment where they often outcompete native species for resources, sometimes leading to environmental imbalances and biodiversity loss.