For a one-tailed hypothesis test,the critical z-value of the test statistic is −2.33. Which of the following is true about the hypothesis test?
A)α = 0.05 for a lower-tailed test
B)α = 0.01 for a lower-tailed test
C)α = 0.05 for an upper-tailed test
D)α = 0.01 for an upper-tailed test

Question

Quizplus · Accepted Answer

The critical z-value of -2.33 corresponds to a significance level (α) of 0.01 for a lower-tailed test. This is because a z-value of -2.33 is found in the lower tail of the normal distribution, indicating a left-sided (lower-tailed) test, and the area to the left of -2.33 in the standard normal distribution is approximately 0.01, which represents the significance level.

For a One-Tailed Hypothesis Test,the Critical Z-Value of the Test