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:

Hydrophilic End

The part of a molecule that is attracted to water and can form hydrogen bonds with water molecules, often found in compounds like detergents.

Phospholipids

A group of fats that play a crucial role in the structure of all cellular membranes due to their ability to create double-layered lipid barriers.

Water Soluble

Capable of dissolving in water, typically referring to vitamins or other substances that can be easily absorbed by the body when in water.

Smallest To Largest

A method of organizing or categorizing objects or elements based on their size, from the smallest to the largest.