For a given level of significance, if the sample size decreases, the probability of a Type II error will:
A)remain the same.
B)increase.
C)decrease.
D)be equal to 1.0 regardless of the value of $\alpha$ .

Question

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis is not rejected when it is false. Decreasing the sample size generally increases the probability of a Type II error because it reduces the power of the test, making it harder to detect a true effect.

For a Given Level of Significance, If the Sample Size α\alphaα

For a Given Level of Significance, If the Sample Size $\alpha$