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Consider the following four statements concerning hypothesis tests. I. We can decrease the probability of a...

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

math   Statistics-And-Probability   
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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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