Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 8 - Review - Test - Page 423: 7

Answer

Because it is not an unusual event.

Work Step by Step

$p=0.07$ $σ_{p̂}=\sqrt {\frac{p(1−p)}{n}}=\sqrt {\frac{0.07(1-0.07)}{1000}}=0.00778$ $p̂=\frac{82}{1000}=0.082$ But $p̂-p=0.012\lt2σ_{p̂}=0.01556$. So, it is not an unusual event. (See the Empirical Rule, page 148)
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