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Chapter 8: Que. 6 (page 392)

For a fixed sample size, what happen to the probability of a Type II error if the significance level is decreased from 0.05 to 0.01?

Determine the,

a. rejection region . b. nonrejection region.

c. critical value(s). d. significance value(s).

e. Draw a graph that depicts the answers that you obtain in part(a)-(d).

f. Classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

Short Answer

Expert verified

a). It increases because decreasing the significance level is equivalent to shrink the rejection region which results in a expanded non rejection region.

b). For a fixed sample size, the smaller we specify the significance levelα,the larger will be the probabilityβ, of not rejecting a false null hypothesis.

Step by step solution

01

Step 1. Explanation

It increases because decreasing the significance level is equivalent to shrink the rejection region which results in a expanded non rejection region.

02

Step 2. Continue

For a fixed sample size, the smaller we specify the significance level, α, the larger will be the probability localid="1651568801871" β, of not rejecting a false null hypothesis.

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Most popular questions from this chapter

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a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

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