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:

Cost Structure

The composition of a company's fixed and variable costs, which influences its profitability and pricing strategies.

Special Order

A one-time or unusual order for products or services, often requiring customization or a departure from standard production processes.

Fixed Costs Per Unit

Fixed costs per unit decrease as production increases because the total fixed costs are spread over a larger number of units.

Selling Price

The amount of money charged for a product or service, or the sum for which something is sold.