When conducting a hypothesis test for a given sample size, if α is increased from 0.05 to 0.10, then ________.
A) the probability of incorrectly rejecting the null hypothesis increases
B) the probability of incorrectly failing to reject the null hypothesis decreases
C) the probability of Type II error decreases
D) All of the above

Question

Quizplus · Accepted Answer

Increasing α from 0.05 to 0.10 increases the probability of making a Type I error (incorrectly rejecting the null hypothesis), which corresponds to choice A. This also means the test becomes less stringent, thereby reducing the probability of a Type II error (incorrectly failing to reject the null hypothesis), which corresponds to choices B and C. Therefore, all of the statements are correct.

When Conducting a Hypothesis Test for a Given Sample Size