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Which one of the following statements about the Type I error of hypothesis testing is wrong? a. It is closely related to the significance level of the test. b. It means that we may fail to reject the null hypothesis H0 when H1 is true. c. It means that we may reject the null hypothesis H0 when H0 is actually true. d. Researchers can control the probability of Type I error.

Question

Which one of the following statements about the Type I error of hypothesis testing is wrong?

a. It is closely related to the significance level of the test.

b. It means that we may fail to reject the null hypothesis H0 when H1 is true.

c. It means that we may reject the null hypothesis H0 when H0 is actually true.

d. Researchers can control the probability of Type I error.

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Solution

b. It means that we may fail to reject the null hypothesis H0 when H1 is true.

This statement is incorrect. Type I error refers to the situation where we reject the null hypothesis (H0) when it is actually true. It does not relate to the alternative hypothesis (H1).

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