Question

A test of H0: μ=1 against Ha: μ>1 has a test statistic z = 2.16. Answer "yes/y" or "no/n" to the following questions. Is this test significant at the 5% level (α = 0.05)?

A) Yes
B) No

Answer 1

Yes, the test is significant at the 5% level.

Step-by-step explanation:

To determine if the test is significant at the 5% level, we compare the test statistic to the critical value. In this case, the test statistic z = 2.16.

We need to find the critical value for a = 0.05. Looking it up in the normal table, the z-score for an area to the left equal to 0.05 is -1.645.

Since 2.16 > -1.645, we reject the null hypothesis. Therefore, the answer is A) Yes.