Assume that in a hypothesis test with null hypothesis that a value of 11.0 for the sample mean results in the null hypothesis being accepted.That corresponds to a confidence interval
Result of
A)The 0.10% confidence interval for the mean contains the value 11.0
B)The 90% confidence interval for the mean contains the value 14.0
C)The 90% confidence interval for the mean does not contain the value 14.0
D)There is insufficient information as to if the 90% confidence interval for the mean does or does not contain the value 11.0

Question

Assume that in a hypothesis test with null hypothesis  that a value of 11.0 for the sample mean results in the null hypothesis being accepted.That corresponds to a confidence interval
Result of
A)The 0.10% confidence interval for the mean contains the value 11.0 
B)The 90% confidence interval for the mean contains the value 14.0 
C)The 90% confidence interval for the mean does not contain the value 14.0 
D)There is insufficient information as to if the 90% confidence interval for the mean does or does not contain the value 11.0

Quizplus · Accepted Answer

If the null hypothesis is accepted with a sample mean of 11.0, that means the sample mean falls within the confidence interval for the null hypothesis. Since the null hypothesis is 11ebb61d_fc05_61cf_92a9_2f2363a9d07d_TB8376_11, a 90% confidence interval for the mean would be centered around 11.0. Therefore, the confidence interval would extend from a value less than 11.0 to a value greater than 11.0, with 90% likelihood. The only choice that reflects this is B, which states that the 90% confidence interval contains the value 14.0. As such, choice B is the correct answer.

Assume That in a Hypothesis Test with Null Hypothesis