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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Assume that matched pairs of data result in

Chapter 13, Problem 8 BSC

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QUESTION:

Problem 8BSC

Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference.

Positive signs: 172; negative signs: 439; ties: 0 (from challenges to referee calls in the most recent U.S. Open tennis tournament).

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QUESTION:

Problem 8BSC

Assume that matched pairs of data result in the given number of signs when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference.

Positive signs: 172; negative signs: 439; ties: 0 (from challenges to referee calls in the most recent U.S. Open tennis tournament).

ANSWER:

Solution 8BSC

The null hypothesis is the claim of no difference between the challenges to referee calls in the most recent U.S. Open tennis tournament.

H 0: There is no difference between the challenges to referee calls in the most recent U.S. Open tennis tournament.

H 1: There is a difference between the challenges to referee calls in the most recent U.S. Open tennis tournament.

It is given that the number of positive signs = 172

Number of negative signs = 439

Number of ties = 0.

The less frequent sign is the positive sign. So the value of the test statics x = 172

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