The Student Senate at a Local University Is About to Hold

question 78

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 are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates?

• A) H₀: p = p₀ ,H_A: p ≠ p₀
• B) H₀: p₁= p₂ ,H_A: p₁≠ p₂
• C) H₀: p₁≤ p₂ ,H_A: p₁> p₂
• D) H₀: p₁≥ p₂ ,H_A: p₁< p₂

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Definitions:

Common Information Effect

The Common Information Effect is a group dynamic phenomenon where members tend to focus and give more importance to information that everyone in the group knows, rather than unique data held by few.

Explicitly Told

Information or instructions that are conveyed in a direct, clear, and unambiguous manner, leaving no room for misinterpretation or inference.

Discussing Information

The process of sharing and deliberating on data, facts, and knowledge among a group of people.

Socioemotional Interactions

Exchanges between individuals that involve emotional support, social connection, and the expression of feelings.