Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Review - Review Exercises - Page 316: 17c

Answer

Yes, this result is surprising.

Work Step by Step

$P(trusts~organized~religion)=0.18$ The events "American 1 trusts organized religion", "American 2 trusts organized religion" and "American 3 trusts organized religion" are independent. Now, using the Multiplication Rule (see page 282): $P(all~3~trust~organized~religion)=P(American~1~trusts~organized~religion)\times P(American~2~trusts~organized~religion)\times P(American~3~trusts~organized~religion)=0.18\times0.18\times0.18=0.005832$ $P(all~3~trust~organized~religion)\lt0.05$. It is an unusual event, so, we can conclude that this result is surprising.
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