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:

Natural Selection

The process by which organisms with traits better suited to their environment are more likely to survive and reproduce, gradually influencing the characteristics of their species.

Allele Frequency

The proportion of all copies of a gene in a population that are of a given allele variant.

Dominant Allele

An allele that is always expressed when it is present, regardless of whether it is homozygous or heterozygous. Compare with recessive allele.

Aa Genotypes

A term referring to individuals with a heterozygous genotype, possessing two different alleles (A and a) at a single genetic locus.