The Student Senate at a Local University Is About to Hold

question 28

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 reject H₀: 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:

Transformational Leader

Leaders who change their organizations in large and fundamental ways rather than simply managing the organization.

Faking Good

A response bias in self-report measures where individuals present themselves in a more favorable light than is accurate, often to appear more socially desirable.

Questionnaire Responses

The answers provided by individuals when completing a questionnaire, which can be used to gather information on a wide range of topics for analysis.

Counterproductive Workplace Behavior

Actions by employees that go against the goals and interests of their employer, including theft, sabotage, and wasting time.