Statistics, Binder Ready Version: Unlocking the Power of Data
Statistics, Binder Ready Version: Unlocking the Power of Data
2nd Edition
ISBN: 9781119163664
Author: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
Publisher: WILEY
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Chapter 7.2, Problem 31E
To determine

Find the expected count and the contribution to the chi-square statistic for the cell (Group 3, Yes).

Expert Solution & Answer
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Answer to Problem 31E

The expected count and the contribution to the chi-square statistic for the cell (Group 3, Yes) are 65 and 0.754, respectively.

Explanation of Solution

From the given table, row and column totals for the cell (Group 3, Yes) (=72) are 100 and 260, respectively. The grand total, n, is 400.

The expected count can be calculated as follows:

Expected count=(Group 3 row total)(Yes column total)n=(100)(260)400=65_

The contribution to the chi-square statistic can be calculated as follows:

χ2=(ObservedExpected)2Expected=(7265)2650.754_

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