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Chapter 8.2, Problem 35BB

Power For a hypothesis test with a specified significance level α, the probability of a type I error is α, whereas the probability β of a type II error depends on the particular value of p that is used as an alternative to the null hypothesis.

a. Using an alternative hypothesis of p < 0.4, using a sample size of n = 50, and assuming that the true value of p is 0.25, find the power of the test. See Exercise 34 “Calculating Power” in Section 8-1. [Hint: Use the values p = 0.25 and pq/n = (0.25) (0.75)/50.]

b. Find the value of β, the probability of making a type II error.

c. Given the conditions cited in part (a), find the power of the test. What does the power tell us about the effectiveness of the test?

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Chapter 8 Solutions

Essentials of Statistics Plus MyLab Statistics with Pearson eText -- Access Card Package (6th Edition) (What's New in Statistics)

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