i. For a one-tailed test using the 0.05 level of significance, the critical value for the z test is 1.645, but for t it is 1.96. ii. For a one-tailed test using the 0.01 level of significance, the critical value for the z-test is 1.645, but for t it is 1.96.
iii. For a two-tailed test using the 0.05 level of significance the critical value for the z-test is 1.96 and it is the same for the t-test.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

- For a one-tailed test at the 0.05 level of significance, the critical value for the z-test is indeed 1.645, but the critical value for the t-test depends on the degrees of freedom and can vary, often being higher than 1.645.- For a one-tailed test at the 0.01 level of significance, the critical value for the z-test is approximately 2.33, not 1.645. Similarly, the critical value for the t-test depends on the degrees of freedom and is generally higher than 2.33.- For a two-tailed test at the 0.05 level of significance, the critical value for the z-test is indeed 1.96. However, the statement that it is the same for the t-test is incorrect because the critical value for the t-test depends on the degrees of freedom and is typically higher than 1.96 for small sample sizes.

I for a One-Tailed Test Using the 0