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

Question

Quizplus · Accepted Answer

As sample size increases, the standard error of the mean decreases, making the distribution of sample means narrower around the true population mean. This leads to a more precise estimate of the true population mean, which reduces the likelihood of a Type II error (i.e., accepting a false null hypothesis). Therefore, increasing the sample size decreases the probability of a Type II error.

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