If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the A) null hypothesis should state p₁ - p₂ 0. C) alternative hypothesis should state p₁ - p₂ 0. D) alternative hypothesis should state p₁ - p₂

Question

If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the A) null hypothesis should state p₁ - p₂ < 0. B) null hypothesis should state p₁ - p₂ > 0. C) alternative hypothesis should state p₁ - p₂ > 0. D) alternative hypothesis should state p₁ - p₂ < 0.

Quizplus · Accepted Answer

The null hypothesis should always state that there is no difference between the two proportions, so in this case, it should state that p₁ - p₂ = 0. The alternative hypothesis should state that there is a difference and specifies the direction of the difference, so it should state that p₁ - p₂ > 0 to test whether the proportion in population 1 is larger than in population 2.

If We Are Interested in Testing Whether the Proportion of Items