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Solution: Assume that matched pairs of data result in the

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 8BSC Chapter 13.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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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)

Step-by-Step Solution:

Solution 8BSC Step 1 By assuming 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. We use the sign test with a 0.05 significance level to test the null hypothesis of no difference. The Hypotheses can be expressed as H0 There is no difference between challenges to referee calls in the most recent U.S. Open tennis tournament. H1 There is a difference between challenges to referee calls in the most recent U.S. Open tennis tournament. We know that, Positive signs = 172 Negative signs = 439 Number of ties = 0 Now, the Test Statistic is the less frequent sign i.e., positive sign = 172 Therefore, x = 172 is the required value of test statistic. Hence for sign test the required sample size used is 611 i.e., n = 172 + 439 = 611 which is greater than 25 (n 25). Hence the Test Statistic x = 172 can be converted to the Test Statistic as shown below (x + 0.5) 2 ( ) z = n (172 + 0.5) ) z = 611 2 2 On substitution we get, z = -10.76 From A-2 table, the critical values are z = -1.96 and z = 1.96 for two tailed test. Hence the critical region is (z -1.96)(z 1.96) From the above figure, we see that z = -10.76 does not fall within the critical region. Hence we reject the Null hypothesis and conclude that there is a sufficient evidence to claim that There is a difference between challenges to referee calls in the most recent U.S. Open tennis tournament.

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Chapter 13.2, Problem 8BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This full solution covers the following key subjects: signs, test, variable, pairs, corresponding. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 8BSC from chapter: 13.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “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)” is broken down into a number of easy to follow steps, and 68 words. Since the solution to 8BSC from 13.2 chapter was answered, more than 483 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12.

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