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 a hypothesis test with hypotheses ? 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

A 99% confidence interval tells us that if we were to repeat the same experiment multiple times, 99% of the confidence intervals we generate would contain the true population mean. The confidence interval [-3.79,5.86] contains zero, which is one possible value for the population mean, so we cannot reject the null hypothesis H₀ at the 1% significance level. Thus, the correct answer 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