Question

Which of the following statement is correct? a. Type I errors can only occur if you fail to reject H0. b. Type II errors can only occur when you reject H0. c. When the sample size increases, both the probability of making Type I errors and the probability of making Type II errors can decrease. d. The level of significance is the probability of making a Type II error.

Answer 1

a. Type I errors can only occur if you fail to reject H0= FALSE.

Reason-  a. By definition -Type I errors can only occur if you reject H0 when it is true.

b. Type II errors can only occur when you reject H0. =FALSE

Reason- b. By definition- Type II errors can only occur when you fail to reject H0 and not when you reject H0.

C. When the sample size increases, both the probability of making Type I errors and the probability of making Type II errors can decrease = TRUE.

Reason- when we increase the sample size, we decreases the variability of the statistic. This may reduce both types of errors.

d. The level of significance is the probability of making a Type II error. = FALSE.

Reason-The level of significance is the probability of making a Type I error. Significance level is the probability of making the wrog decision when the null hypothesis is actually true.