Question

The z statistic for a one-sided test is z = 2.433 for an alternative Ha: μ > μa. This test is:

a. unable to determine

b. significant at α = 0.05 but not α = 0.01

c. not significant at both α = 0.05 and α = 0.01

d. significant at both α = 0.05 and α = 0.01

Answer 1

The test is significant at α = 0.05 but not at α = 0.01.

Step-by-step explanation:

The z statistic for a one-sided test is z = 2.433 for an alternative Ha: μ > μa. To determine the significance of this test, we compare the z statistic to the critical z-value at a given significance level. In this case, the critical z-value for α = 0.05 is -1.645, which means that the z statistic of 2.433 is greater than the critical value. Therefore, we reject the null hypothesis and conclude that there is significant evidence to support the alternative hypothesis at the α = 0.05 level of significance. The test is significant at α = 0.05 but not at α = 0.01.