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 out of 350 people (sample 2)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: π₁ π₂ C)H₁: π₁ = π₂ D)H₁: π₁ ≠ π₂

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 out of 350 people (sample 2)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: π₁ < π₂ B)H₁: π₁ > π₂ C)H₁: π₁ = π₂ D)H₁: π₁ ≠ π₂

Quizplus · Accepted Answer

The alternate hypothesis is always in the direction of the claim or assertion being made in the problem. Here, the claim is that a higher proportion of people in Dobbs Ferry prefer the new coffee. Therefore, the alternate hypothesis is that πD > πI, where πD is the population proportion of people in Dobbs Ferry who prefer the new coffee, and πI is the population proportion of people in Irvington who prefer the new coffee. The correct choice is B which represents a one-tailed hypothesis test in the direction of the claim.

In a Market Test of a New Chocolate Raspberry Coffee,a