Question

A test of h0: = 0 against h1: ≠ 0 has test statistic z = 1.876. is this test significant at the 5% level ( = 0.05)? yes, this test is significant at the 5% level ( = 0.05). no, this test is not significant at the 5% level ( = 0.05). is this test significant at the 1% level ( = 0.01)? yes, this test is significant at the 1% level ( = 0.01). no, this test is not significant at the 1% level ( = 0.01).

Answer 1

The test is not significant at either the 5% or 1% level.

Step-by-step explanation:

The test of h0: μ = 0 against h1: μ ≠ 0 has a test statistic z = 1.876 and a p-value of 0.2150. When comparing the p-value to the level of significance, which is 0.05, a p-value. Therefore, we do not reject the null hypothesis.

Since the test statistic is not in the rejection region, the test is not significant at the 5% level (α = 0.05). However, when comparing the p-value to a lower level of significance, such as 0.01, the p-value is still greater than 0.01. Therefore, this test is not significant at the 1% level either.