For a given level of significance if the sample size n is increased, the probability of a Type II error
A)will decrease.
B)will increase.
C)will remain the same.
D)cannot be determined.

Question

For a given level of significance  if the sample size n is increased, the probability of a Type II error 
A)will decrease. 
B)will increase. 
C)will remain the same. 
D)cannot be determined.

Quizplus · Accepted Answer

Increasing the sample size reduces the probability of making a Type II error, as it increases the power of the statistical test. As the sample size increases, the standard deviation of the sample means decreases, increasing the power of the test, which helps to reduce the probability of a Type II error. Therefore, increasing the sample size reduces the probability of a Type II error.

For a Given Level of Significance If the Sample