If the alternative hypothesis is H₁: μ₁ μ₂, then the null hypothesis would be _____________. A) H₀: μ₁ = μ₂ B) H₀: μ₁ ≠ μ₂ C) H₀: μ₁

Question

If the alternative hypothesis is H₁: μ₁ > μ₂, then the null hypothesis would be _____________.
A) H₀: μ₁ = μ₂
B) H₀: μ₁ ≠ μ₂
C) H₀: μ₁ < μ₂
D) H₀: μ₁ ≤ μ₂

Quizplus · Accepted Answer

The null hypothesis is always the opposite of the alternative hypothesis. In this case, the opposite of "μ₁ > μ₂" is "μ₁ ≤ μ₂", so the correct null hypothesis is D.

If the Alternative Hypothesis Is H₁: μ₁ > μ₂, Then