Answer:

Rejection Criterion and Probability of Errors in Hypothesis Testing

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Question

Suppose we set the criterion for the rejection of the null that is extremely stringent, assuring us that the null will be definitely rejected. Then, which of the following is/are true?

I. The probability of a Type I error is zero.

II. The probability of Type II error is zero.

III. The significance level of the test is 1.

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Explanations

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A. B. C. D. E.

Explanation

A Type I error refers to the event that we will reject the null when, in fact, it is true. If the criterion is so stringent that you always reject the null, then the probability of type I error is one. A Type II error refers to the event that we will fail to reject the null when, in fact, it is false. If you always reject the null, then the probability of type II error is clearly zero. Also remember that the significance level is the same as the probability of making a Type I error. Hence, in this case, the significance level equals 100%.

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