Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 13.0 \text { at } \alpha = 0.10$ , 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

Quizplus · Accepted Answer

If the null hypothesis is rejected at a significance level of 0.10, then there is evidence to suggest that the true population mean is not 13.0. Therefore, the 90% confidence interval for the mean will not contain the value 13.0. The information given about the sample mean being 17.0 does not provide enough information to determine if it falls within the 90% confidence interval, so option A and B cannot be chosen.

Assume That in a Hypothesis Test with Null Hypothesis H0:μ=13.0 at α=0.10\mathrm { H } _ { 0 } : \mu = 13.0 \text { at } \alpha = 0.10H0​:μ=13.0 at α=0.10

Assume That in a Hypothesis Test with Null Hypothesis $\mathrm { H } _ { 0 } : \mu = 13.0 \text { at } \alpha = 0.10$