You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let men and women be represented by populations 1 and 2, respectively. Which of the following hypotheses is relevant to this claim? A) H₀: µ₁ - µ₂ ≤ 0, H_A: µ₁ - µ₂ 0 B) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ 0 D) H₀: p₁ - p₂ ≥ 0, H_A: p₁ - p₂

Question

You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let men and women be represented by populations 1 and 2, respectively. Which of the following hypotheses is relevant to this claim? A) H₀: µ₁ - µ₂ ≤ 0, H_A: µ₁ - µ₂ > 0 B) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ < 0 C) H₀: p₁ - p₂ ≤ 0, H_A: p₁ - p₂ > 0 D) H₀: p₁ - p₂ ≥ 0, H_A: p₁ - p₂ < 0

Quizplus · Accepted Answer

Since we are comparing the incidence of smoking between two different populations (men and women), we need to use proportions (p) instead of means (µ). Additionally, the alternative hypothesis (H1) should be that the incidence of smoking is higher in women (population 2) than in men (population 1), which means that the difference in proportions should be greater than 0. Therefore, we need to use the following hypotheses: H₀: p₂ - p₁ ≤ 0 H_A: p₂ - p₁ > 0. Choice D is the only one that correctly reflects these hypotheses.

You Would Like to Determine If There Is a Higher