Exhibit 10.11.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. Refer to Exhibit 10.11.What are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates?

Question

Quizplus · Accepted Answer

The competing hypotheses are: H0: p₁ = p₂ (there is no difference in the proportions of supporting votes for the two incumbent candidates) HA: p₁ ≠ p₂ (there is a difference in the proportions of supporting votes for the two incumbent candidates) This is reflected in choice B.