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.