If the level of significance of a hypothesis test is raised from. 01 to. 05, the probability of a Type II error a. will not change. b. will increase. c. will also increase from. 01 to. 05. d. will decrease.

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Mathematics

Lilyana

19 May, 07:47

If the level of significance of a hypothesis test is raised from. 01 to. 05, the probability of a Type II error a. will not change. b. will increase. c. will also increase from. 01 to. 05. d. will decrease.

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Jerimiah Pena · Answer 1

d. Decrease

Step-by-step explanation:

A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.

The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).

So using lower values of α can increase the probability of a Type II error.