The Student Senate at a Local University Is About to Hold

question 81

Multiple Choice

The student senate at a local university is about to hold elections.A representative from the women's sports program and a representative from the men's sports program must both be elected.Two candidates,an incumbent and a challenger,are vying for each position and early polling results are presented next.A hypothesis test must be performed to determine whether the percentages of supporting votes are different between the two incumbent candidates.In a sample of 100 voters,67 said that they would vote for the women's incumbent candidate.In a separate sample of 100 voters,55 said they would vote for the men's incumbent candidate.Let p₁ and p₂ be the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs,respectively.Which of the following is the correct conclusion for the test at = 0.05?

• A) Reject H₀: p₁ = p₂ and therefore conclude that the proportions differ.
• B) Reject H₀: p₁ = p₂ and therefore do not conclude that the proportions differ.
• C) Do not rejectH₀: p₁ = p₂ and therefore conclude that the proportions differ.
• D) Do not reject H₀: p₁ = p₂ and therefore do not conclude that the proportions differ.

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Definitions:

Schizophrenics

Individuals diagnosed with a mental disorder that involves a range of symptoms, including delusions, hallucinations, disorganized speech, and impaired cognitive functioning.

Construing

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Non-Discriminatory View

An impartial perspective that does not involve bias, prejudice, or discrimination towards individuals or groups based on characteristics such as race, gender, age, or sexuality.

Constructs

Theoretical concepts developed to understand or explain patterns of behavior or cognition.