Assume that in a hypothesis test with null hypothesis that a value of 17.0 for the sample mean results in the null hypothesis being rejected.That corresponds to a confidence interval result
Of
A)The 10% confidence interval for the mean contains the value 17.0
B)The 90% confidence interval for the mean contains the value 17.0
C)The 90% confidence interval for the mean does not contain the value 13.0
D)There is insufficient information as to if the 90% confidence interval for the mean does or does not contain the value 17.0

Question

Assume that in a hypothesis test with null hypothesis  that a value of 17.0 for the sample mean results in the null hypothesis being rejected.That corresponds to a confidence interval result
Of
A)The 10% confidence interval for the mean contains the value 17.0 
B)The 90% confidence interval for the mean contains the value 17.0 
C)The 90% confidence interval for the mean does not contain the value 13.0 
D)There is insufficient information as to if the 90% confidence interval for the mean does or does not contain the value 17.0

Quizplus · Accepted Answer

If the null hypothesis is rejected at a significance level of 10% (assuming a two-tailed test), then the corresponding confidence interval would be a 90% confidence interval (since 10% of the area is in the tails). If the sample mean of 17.0 is outside of this confidence interval, then it does not contain the value 17.0. Therefore, choice C is the best answer.

Assume That in a Hypothesis Test with Null Hypothesis