Final answer:
The correct critical value(s) for α = 0.01 in a two-tailed test are ±zα/2, which are ± 2.576 when using a standard normal distribution table.
Step-by-step explanation:
The critical value(s) for a significance level α = 0.01 typically relate to a hypothesis test in statistics. When dealing with a two-tailed test, which appears to be the context from the information provided, the correct choice is ±zα/2. This is because the significance level α is split between the two tails of the standard normal distribution, with α/2 in each tail. Using a standard normal probability table or a z-score calculator, we find the z-score that corresponds to a cumulative area of 1 – (α/2) to the left. For an α of 0.01, each tail contains 0.005, so you would look for the z-score that leaves 0.995 to its left. This value is approximately zα/2 = 2.576. Therefore, the critical values are ± 2.576.