We are interested in testing whether the variance of a population is significantly more than 625. The null hypothesis for this test is A) H₀: σ² 625. B) H₀: σ² ≤ 625. C) H₀: σ² ≥ 625. D) H₀: σ² ≤ 25.

Question

We are interested in testing whether the variance of a population is significantly more than 625. The null hypothesis for this test is A) H₀: σ² > 625. B) H₀: σ² ≤ 625. C) H₀: σ² ≥ 625. D) H₀: σ² ≤ 25.

Quizplus · Accepted Answer

The null hypothesis for testing whether the variance of a population is significantly more than 625 is H₀: σ² ≤ 625. This is because the alternative hypothesis is that the variance is greater than 625. A one-tailed test with the alternative hypothesis of σ² > 625 would require a different null hypothesis. Option A incorrectly uses a greater than sign in the null hypothesis, Option C uses a greater than or equal to sign which is inconsistent with the alternative hypothesis, and Option D uses a much smaller value for the variance in the null hypothesis.

We Are Interested in Testing Whether the Variance of a Population