If the sample data are in the critical region with α = .01,then the same sample data would still be in the critical region if α were changed to .05.

Question

Quizplus · Accepted Answer

If the sample data are in the critical region with a significance level of α = .01, it means that the probability of obtaining the sample data by chance is less than 1% assuming the null hypothesis is true. If the significance level is increased to α = .05, it means that the probability of obtaining the sample data by chance is less than 5%. Since a larger significance level allows for more type I errors (rejecting the null hypothesis when it is actually true), any sample data that falls within the critical region at α = .01 will still be within the critical region at α = .05. Therefore, the statement is true.

If the Sample Data Are in the Critical Region with α