Question

Consider the following four statements concerning hypothesis tests. I. We can decrease the probability of a Type II error by increasing the sample size. II. We can decrease the probability of a Type II error by decreasing the sample size. III. We can decrease the probability of a Type I error by increasing the level of significance . IV. We can decrease the probability of a Type I error by decreasing the level of significance . Which statements above are true?

(a) I only

(b) II only

(c) I and IV only

(d) II and III only

(e) None

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Answer #1

Option (c) 1 and 4 only

(1) We can decrease the probability of a Type II error by increasing the sample size.

(4) We can decrease the probability of a Type I error by decreasing the level of significance .

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