What are the critical z-values for a two-tailed hypothesis test if $\alpha$ = 0.01?
A) $\pm$1.96
B) $\pm$2.33
C) $\pm$2.58
D) $\pm$1.65

Question

What are the critical z-values for a two-tailed hypothesis test if $\alpha$ = 0.01?
A)  $\pm$1.96
B)  $\pm$2.33
C)  $\pm$2.58
D)  $\pm$1.65

Quizplus · Accepted Answer

For a two-tailed hypothesis test of significance level α, the critical z-values can be found using a standard normal distribution table. As α/2 = 0.005 for a two-tailed test with α = 0.01, the critical z-values are the values that correspond to a cumulative probability of 0.005 and 0.995. The closest values in the table are 2.58 and -2.58, so the critical values are ±2.58. Therefore, the answer is choice C.

What Are the Critical Z-Values for a Two-Tailed Hypothesis Test α\alphaα

What Are the Critical Z-Values for a Two-Tailed Hypothesis Test $\alpha$