The Basic Practice of Statistics 7th Edition

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

Chapter 6 - Two-Way Tables - Chapter 6 Exercises - Page 176: 6.25b

Answer

White Defendants (Black Victims) = 0/9 = 0% (less percentage) White Defendants (white Victims) = 19/151 = 12.6% (more percentage) Black Defendants (White Victims) = 11/63 = 17.46% Black Defendants (Black Victims) = 6/136 = 5.83% White Defendants (Overall) = 19/160 = 11.88% (overall more percentage) Black Defendants (Overall) = 17/166 = 10.24% (overall less percentage) Hence, Simpson's paradox holds in this case.

Work Step by Step

White Defendants (Black Victims) = 0/9 = 0% (less percentage) White Defendants (white Victims) = 19/151 = 12.6% (more percentage) Black Defendants (White Victims) = 11/63 = 17.46% Black Defendants (Black Victims) = 6/136 = 5.83% White Defendants (Overall) = 19/160 = 11.88% (overall more percentage) Black Defendants (Overall) = 17/166 = 10.24% (overall less percentage) Hence, Simpson's paradox holds in this case.
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