Do critical regions get larger when a values get smaller? Solution critical regions get smaller as values get smaller let\'s use a two tailed test: =.10, so rejection region {z : |z| > z(.05) = 1.645}. the rejection region is all z scores less than - 1.645 and all z scores greater than 1.645 =.05, so rejection region {z : |z| > z(.025) = 1.96}. the rejection region is all z scores less than - 1.96 and all z scores greater than 1.96 as you decrease , it becomes harder and harder to disprove the null hypothesis.