If the alternative hypothesis is that proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____. A) p₁ - p₂ 0 D) p1 - p₂ ≤ 0

Question

If the alternative hypothesis is that proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____. A) p₁ - p₂ < 0 B) p1 - p₂ = 0 C) p1 - p₂ > 0 D) p1 - p₂ ≤ 0

Quizplus · Accepted Answer

The null hypothesis is typically stated in a form that shows no effect or no difference. In this case, if the alternative hypothesis is that the proportion in population 1 is larger than in population 2 (p1 > p2), the null hypothesis should reflect no difference (p1 = p2) or the opposite of the alternative hypothesis (p1 ≤ p2). Therefore, the correct formulation is p1 - p2 ≤ 0, indicating that the proportion in population 1 is not greater than in population 2.

If the Alternative Hypothesis Is That Proportion of Items in Population