Answer
$0.2296$. This is not unusually low, and the results are consistent with the hypothesis.
Work Step by Step
We find:
$μ=np=(1064)(0.75)=798 $
$σ=\sqrt{npq}=\sqrt{(1064)(0.25)(0.75)}=14.12$
Hence, we find z:
$z=\frac{787.5−798}{14.12}=−0.74$
Thus, using the table of z-scores, we can find that the corresponding probability is: $0.2296$. Hence we can see that the values are not unusually low. In addition, because $22.96$ percent is very possible, this means that the hypothesis is not violated.
