In a market test of a new chocolate raspberry coffee, a poll of 400 people (sample 1) from Dobbs Ferry showed 250 preferred the new coffee. In Irvington, 170 (sample 2) out of 350 people preferred the new coffee. To test the hypothesis that a higher proportion of people in Dobbs Ferry prefer the new coffee, what is the alternate hypothesis? A) H₁: $\pi$₁ $\pi$₂ C) H₁: $\pi$₁ = $\pi$₂ D) H₁: $\pi$₁ $\neq$ $\pi$₂

Question

In a market test of a new chocolate raspberry coffee, a poll of 400 people (sample 1) from Dobbs Ferry showed 250 preferred the new coffee. In Irvington, 170 (sample 2) out of 350 people preferred the new coffee. To test the hypothesis that a higher proportion of people in Dobbs Ferry prefer the new coffee, what is the alternate hypothesis? A) H₁: $\pi$₁ < $\pi$₂ B) H₁: $\pi$₁ > $\pi$₂ C) H₁: $\pi$₁ = $\pi$₂ D) H₁: $\pi$₁ $\neq$ $\pi$₂

Quizplus · Accepted Answer

The alternate hypothesis is the statement we want to test. Since we want to test if the proportion of people who prefer the new coffee in Dobbs Ferry is higher than in Irvington, the alternate hypothesis should be one-tailed and state that the proportion in Dobbs Ferry is greater than the proportion in Irvington. The correct option is B, which states: H₁: F1F1F1S1F1F1F10₁ > F1F1F1S1F1F1F10₂.

In a Market Test of a New Chocolate Raspberry Coffee π\piπ

In a Market Test of a New Chocolate Raspberry Coffee $\pi$