You would like to determine if there is a higher incidence of smoking among women than among men in a neighborhood. Let women and men 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 women and men 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

The hypothesis should compare the proportions (p) of smokers in each group, not the means (µ), since we are dealing with incidence rates. The null hypothesis (H0) states that the proportion of smokers among women (p1) is less than or equal to that among men (p2), while the alternative hypothesis (HA) states that the proportion is greater among women.

You Would Like to Determine If There Is a Higher