A 99% confidence interval for the population mean yields the following results: [−3.79, 5.86]. At the 1% significance level, what decision should be made regarding the following hypothesis test with H₀: μ = 0, H_A: μ ≠ 0? A) Reject H₀; we can conclude that the mean differs from zero. B) Reject H₀; we cannot conclude that the mean differs from zero. C) Do not reject H₀; we can conclude that the mean differs from zero. D) Do not reject H₀; we cannot conclude that the mean differs from zero.

Question

Quizplus · Accepted Answer

Since the confidence interval contains zero, we cannot reject the null hypothesis at the 1% significance level. Therefore, we cannot conclude that the mean differs from zero. The correct choice is D, "Do not reject H₀; we cannot conclude that the mean differs from zero."

A 99% Confidence Interval for the Population Mean Yields the Following