Assume that in a hypothesis test with null hypothesis H0: at that a value of 11.0 for the sample mean results in the null hypothesis being rejected.That corresponds to a confidence interval result
Of
A)The 95% confidence interval for the mean contains the value 11.0
B)The 95% confidence interval for the mean contains the value 14.0
C)The 95% confidence interval for the mean does not contain the value 14.0
D)There is insufficient information to conclude whether the 95% confidence interval for the mean .contains or does not contain the value 14.0

Question

Assume that in a hypothesis test with null hypothesis H0:  at  that a value of 11.0 for the sample mean results in the null hypothesis being rejected.That corresponds to a confidence interval result
Of
A)The 95% confidence interval for the mean contains the value 11.0 
B)The 95% confidence interval for the mean contains the value 14.0 
C)The 95% confidence interval for the mean does not contain the value 14.0 
D)There is insufficient information to conclude whether the 95% confidence interval for the mean .contains or does not contain the value 14.0

Quizplus · Accepted Answer

If the null hypothesis is rejected at a significance level of 0.05 with a sample mean of 11.0, it means that the 95% confidence interval for the population mean does not contain the value 11.0. Therefore, option A is incorrect. However, we do not have any information about the value of 14.0, so we cannot conclude anything about its inclusion in the confidence interval. Option B is incorrect. Thus, the correct answer is option C. If the null hypothesis is rejected at a significance level of 0.05, it means that the sample mean is significantly different from the hypothesized value of 11.0. Since we are given no information about the direction of the difference, we cannot conclude whether the 95% confidence interval contains the value 11.0 or not. However, we can say that the confidence interval does not contain the value 14.0, since that value is not mentioned in the problem and is not related to the null hypothesis or the sample mean. Therefore, choice C is the best answer.

Assume That in a Hypothesis Test with Null Hypothesis H0