Assume that a 99% confidence interval for the mean is (17.0, 19.0).Then a hypothesis test of 16.0 at = 0.01 would result in
A)Rejecting the null hypothesis because 16.0 is less than 17.0
B)Accepting the null hypothesis because 16.0 is less than 19.0
C)Accepting the null hypothesis because 19.0 is more than 17.0
D)There is insufficient information to make any conclusions about the hypothesis test

Question

Assume that a 99% confidence interval for the mean is (17.0, 19.0).Then a hypothesis test of  16.0 at  = 0.01 would result in
A)Rejecting the null hypothesis because 16.0 is less than 17.0 
B)Accepting the null hypothesis because 16.0 is less than 19.0 
C)Accepting the null hypothesis because 19.0 is more than 17.0 
D)There is insufficient information to make any conclusions about the hypothesis test

Quizplus · Accepted Answer

Since the null hypothesis states that the mean is equal to 16.0, and the lower bound of the 99% confidence interval is 17.0, we can conclude that the null hypothesis is not supported by the data. Therefore, we reject the null hypothesis.

Assume That a 99% Confidence Interval for the Mean Is