Stats: Data and Models (3rd Edition)

Published by Pearson
ISBN 10: 0321692551
ISBN 13: 978-0-32169-255-9

Chapter 15 - Probability Rules! - Exercises - Page 378: 31

Answer

No.

Work Step by Step

$P(Republican|male)=\frac{P(\text{Republican and male)}}{P(male)}=\frac{36/202}{105/202}=\frac{36}{105}=\frac{12}{35}\approx0.3429=34.29\%$ $P(Republican )=\frac{45+33}{202}=\frac{78}{202}\approx0.3861=38.61\%$ Thus, no, because the probabilities are not the same.
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