Answer
We reject the hypothesis.
Work Step by Step
We first find the value of z using a ti-84 calculator. To do this, press "Stat," and then select "1-PropZTest." Then, plug in .795 for $p_0,$ 44 for x, and 48 for n. Then, select $\ne p_0,$ and press enter. Doing this, we see that $z=2.088$.
Using a table of z-scores, we find:
$P=1-.9817+.0183=.0366$
This is less than .05, so we reject the hypothesis.