Critical regions get larger as α values get smaller. T or F, and why or why not?

Answer: F

Critical regions get smaller as α-values get smaller.

Explanation:

The figure below shows the critical regions (shaded) for a 2-tailed test at the 95% confidence level.

Because the total area under the curve is 1, the α-value is 1 - 0.95 = 0.05.

It is split up into 0.025 for a two-tailed test. It remains at 0.05 for a one-tailed test.

The critical z-score at 95% confidence level is z * = 1.96.

When the α-value decreases:

(a) the z * value increases,

(b) the confidence level increases,

(c) the critical region decreases.