Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Review - Test - Page 525: 5

Answer

There is not suficient evidence that a supermajority of Americans did not feel the United States would have to fight Japan within their lifetimes.

Work Step by Step

$H_0:~p=0.6$ versus $H_1:~p\gt0.6$ $np_0(1-p_0)=1561\times0.6(1-0.6)=374.64\gt10$ $p̂ =\frac{x}{n}=\frac{954}{1561}=0.611$ $z_0=\frac{p̂ -p_0}{\sqrt {\frac{p_0(1-p_0)}{n}}}=\frac{0.611-0.6}{\sqrt {\frac{0.6(1-0.6)}{1561}}}=0.89$ $P$-value $=P(z\gt0.89)=1-P(z\lt0.89)=1-0.8133=0.1867$ Since $P$-value $\gt α$, for any usual $α$ (0.01, 0.05, 0.1), we do not reject the null hypothesis.
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