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 H_o:μ = 0,H_A:μ ≠ 0? A) Reject H_o;we can conclude that the mean differs from zero. B) Reject H_o;we cannot conclude that the mean differs from zero. C) Do not reject H_o;we can conclude that the mean differs from zero. D) Do not reject H_o;we cannot conclude that the mean differs from zero.

Question

Quizplus · Accepted Answer

At a 1% significance level, our critical value for a two-tailed test is 2.576. Since our confidence interval contains zero, we fail to reject the null hypothesis H_o:μ = 0. Therefore, we cannot conclude that the mean differs from zero. Option D is the correct choice.

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