A demographer wants to measure life expectancy in countries 1 and 2. Let µ₁and µ₂ denote the mean life expectancy in countries 1 and 2, respectively. Specify the hypothesis to determine if life expectancy in country 1 is more than 10 years lower than in country 2. A) H₀: µ₁ - µ₂ ≤ 10, H_A: µ₁ - µ₂ 10 B) H₀: µ₁ - µ₂ ≥ 10, H_A: µ₁ - µ₂ −10 D) H₀: µ₁ - µ₂ ≥ -10, H_A: µ₁ - µ₂

Question

A demographer wants to measure life expectancy in countries 1 and 2. Let µ₁and µ₂ denote the mean life expectancy in countries 1 and 2, respectively. Specify the hypothesis to determine if life expectancy in country 1 is more than 10 years lower than in country 2. A) H₀: µ₁ - µ₂ ≤ 10, H_A: µ₁ - µ₂ > 10 B) H₀: µ₁ - µ₂ ≥ 10, H_A: µ₁ - µ₂ < 10 C) H₀: µ₁ - µ₂ ≤ -10, H_A: µ₁ - µ₂ > −10 D) H₀: µ₁ - µ₂ ≥ -10, H_A: µ₁ - µ₂ < −10

Quizplus · Accepted Answer

The hypothesis test would be structured as follows: Null hypothesis (H0): µ₁ - µ₂ ≥ -10 (no significant difference in life expectancy between the two countries) Alternative hypothesis (Ha): µ₁ - µ₂ < -10 (life expectancy in country 1 is more than 10 years lower than in country 2) Therefore, the correct choice is D.

A Demographer Wants to Measure Life Expectancy in Countries 1