Provide an appropriate response.
-A right-tailed hypothesis test for a population mean is to be performed. If the null hypothesis is rejected at the 5% level of significance, does this necessarily mean that it would be rejected at the 1% level of significance? at the 10% level of significance? Explain your reasoning. In your explanation, refer to the critical values corresponding to the different significance levels.

Question

Quizplus · Accepted Answer

The Answer is A null hypothesis which is rejected at the 5% level of significance will certainly be rejected at the 10% level of significance but not necessarily at the 1% level of significance. If the null hypothesis is rejected at the 5% level of significance, the test statistic is greater than the critical value of 1.645. This means that the test statistic is certainly greater than 1.28 which is the critical value corresponding to a 10% level of significance. The test statistic is not necessarily greater than 2.33 which is the critical value corresponding to a 1% level of significance.

Provide an Appropriate Response