The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 25 - Two Categorical Variables: The Chi-Square Test - Apply Your Knowledge - Page 594: 25.12b

Answer

Small.

Work Step by Step

The degree of freedom is the number of rows minus one multiplied by the number of columns minus one, hence: $df=(r-1)(c-1)=(4-1)(2-1)=3$. The P-value can be obtained from the row $df=3$ containing the value $X^2=99.6058$, thus $P\lt0.0005$. Thus the result of SAS is even more precise than the result of the table but what is common is that both of them are very small.
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