If the mean of a population is 25, which of the following is not a correctly stated alternative hypothesis for a z-test? A) H₁: μ ≤ 25 B) H₁: μ 25 C) H₁: μ ≠ 25 D) H₁: μ

Question

If the mean of a population is 25, which of the following is not a correctly stated alternative hypothesis for a z-test?
A) H₁: μ ≤ 25
B) H₁: μ > 25
C) H₁: μ ≠ 25
D) H₁: μ < 25

Quizplus · Accepted Answer

The alternative hypothesis (H₁) is a statement that contradicts the null hypothesis (H₀). It proposes a specific direction of difference (greater than, less than) or a non-specific direction (not equal to). Since the null hypothesis typically states that there is no effect or no difference (in this case, it would likely state μ = 25), an alternative hypothesis stating μ ≤ 25 does not correctly propose a change or difference from the null hypothesis and is therefore not a properly stated alternative hypothesis for testing against the null.

If the Mean of a Population Is 25, Which of the Following