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

Question

Quizplus · Accepted Answer

Increasing the sample size reduces the standard error of estimate, which leads to a narrower distribution of sample means. This increase in precision results in an increased ability to detect a true difference between the population means, reducing the probability of a Type II error. Therefore, the probability of a Type II error will decrease as the sample size increases.

For a Given Level of Significance ( ? ),If the Sample