A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males. Suppose 250 females and 200 males responded to the study. Which of the following are an appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males? A) H₀: p₁ − p₂ ≤ 0, H_A: p₁ − p₂ 0 B) H₀: p₁ − p₂ ≥ 0, H_A: p₁ − p₂ 0, H_A: p₁ − p₂ ≤ 0

Question

A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males. Suppose 250 females and 200 males responded to the study. Which of the following are an appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males? A) H₀: p₁ − p₂ ≤ 0, H_A: p₁ − p₂ > 0 B) H₀: p₁ − p₂ ≥ 0, H_A: p₁ − p₂ < 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 correct null hypothesis (H0) should state there is no difference or the difference is not in the direction of interest, which in this case is that the proportion of females suffering from asthma is not greater than that of males. The alternative hypothesis (Ha) should reflect the research hypothesis that the proportion of females suffering from asthma is greater than that of males. Therefore, H0: p1 - p2 ≤ 0 and Ha: p1 - p2 > 0 correctly set up the hypotheses for testing if the proportion of females with asthma is greater than the proportion of males.

A Recent Health of Boston Report Suggests That 14% of Female