Assume that a 99% confidence interval for the mean is (11.5, 13.0).Then a hypothesis test of 12.0 at would result in
A)Accepting the null hypothesis because 12.0 is less than 13.0
B)Accepting the null hypothesis because 12.0 is between 11.5 and 13.0
C)Rejecting the null hypothesis if because 12.0 is more than 11.5
D)There is insufficient information to make any conclusions about the hypothesis test

Question

Assume that a 99% confidence interval for the mean is (11.5, 13.0).Then a hypothesis test of  12.0 at  would result in
A)Accepting the null hypothesis because 12.0 is less than 13.0 
B)Accepting the null hypothesis because 12.0 is between 11.5 and 13.0 
C)Rejecting the null hypothesis if because 12.0 is more than 11.5 
D)There is insufficient information to make any conclusions about the hypothesis test

Quizplus · Accepted Answer

The null hypothesis is that the true mean is equal to 12.0. Since 12.0 is within the 99% confidence interval of (11.5, 13.0), there is not enough evidence to reject the null hypothesis. Therefore, choice B is correct. Since the value of 12.0 is within the 99% confidence interval (11.5, 13.0), we can fail to reject the null hypothesis. As a result, we would accept the null hypothesis.

Assume That a 99% Confidence Interval for the Mean Is