Arresting shoplifters (cont’d). Refer to Exercise 7.132.a.

Chapter 7, Problem 133SE

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QUESTION:

Problem 133SE

Arresting shoplifters (cont’d). Refer to Exercise 7.132.

a. Describe a Type II error in terms of this application.

b. Calculate the probability  of a Type II error for this test assuming that the true fraction of shoplifters turned over to the police is p = .55.

c. Suppose the number of retailers sampled is increased from 40 to 100. How does this affect the probability of a Type II error for p = .55?

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QUESTION:

Problem 133SE

Arresting shoplifters (cont’d). Refer to Exercise 7.132.

a. Describe a Type II error in terms of this application.

b. Calculate the probability  of a Type II error for this test assuming that the true fraction of shoplifters turned over to the police is p = .55.

c. Suppose the number of retailers sampled is increased from 40 to 100. How does this affect the probability of a Type II error for p = .55?

ANSWER:

Step 1 of 6

The given information is regarding the U.S retailers of National Association of Shoplifting Prevention (NASP).

Random samples of 40 U.S retailers were questioned concerning the deposition of the most  recent shoplifter de apprehended. A total of 24 were turned over to police.

Here NASP claims that only 50% of all shoplifting are turned over to police.

From the above information we have,

   

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