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Using Yates’s Correction for Continuity The chi-square

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

Solution for problem 22BB Chapter 11.3

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 22BB

Problem  22BB

Using Yates’s Correction for Continuity The chi-square distribution is continuous, whereas the test statistic used in this section is discrete. Some statisticians use Yates’s correction for continuity in cells with an expected frequency of less than 10 or in all cells of a contingency table with two rows and two columns. With Yates’s correction, we replace

Given the contingency table in Example , find the value of the χ2 test statistic using Yates’s correction. What effect does Yates’s correction have?

Example Are Four Quarters the Same as One Dollar?

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Step 1 of 3

Solution  22BB

According to the Yates’s correction for continuity, the test statistic is,

As we can see from the table that initially we failed to reject the null hypothesis that row variable is independent of the column variable. But after applying Yates’s correction, we can clearly see that we reject the claim that row variable is independent of the column variable. The Yates’s applications shows that the association between rows and columns is considered to be very statistically significant.

Step 2 of 3

Chapter 11.3, Problem 22BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Using Yates’s Correction for Continuity The chi-square