What are the critical z-values for a two-tailed hypothesis test if α = 0.01?
A)±1.960
B)±2.326
C)±2.576
D)±1.645

Question

Quizplus · Accepted Answer

For a two-tailed hypothesis test with α = 0.01, we need to split the α value in half for each tail. This gives us an α/2 value of 0.005 for each tail. Looking up the z-scores in a standard normal distribution table or using a calculator, we find that the critical z-values for an α/2 of 0.005 are ±2.576. Therefore, the critical z-values for a two-tailed hypothesis test at α = 0.01 are ±2.576.

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