The conclusion from a non-directional hypothesis test for a population mean at the $\alpha$ level of significance will be the same as the conclusion based on a confidence interval at the 100 (1 - $\alpha$ )% confidence level.

Question

Quizplus · Accepted Answer

This statement is true. Both the non-directional hypothesis test and the confidence interval provide information about the range of possible values for the population mean, and both use the same level of significance or confidence level to determine the likelihood of observing the sample mean or interval. Therefore, if the hypothesis test results in rejecting the null hypothesis or if the confidence interval does not contain the null hypothesis value, the conclusion will be the same. Similarly, if the hypothesis test fails to reject the null hypothesis or if the confidence interval contains the null hypothesis value, the conclusion will also be the same.

The Conclusion from a Non-Directional Hypothesis Test for a Population α\alphaα

The Conclusion from a Non-Directional Hypothesis Test for a Population $\alpha$