Answer
.2296; It is not unusually low, and the results are consistent with the hypothesis.
Work Step by Step
We find:
$\mu=np=(1064)(.75)=798$
$ \sigma=\sqrt{npq}=\sqrt{(1064)(.25)(.75)}=14.12$
Thus, we find z:
$z=\frac{787.5-798}{14.12}=-.74$
Thus, using the table of z-scores, we find that this corresponds to a probability of $.2296$
Thus, we 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.
