Answer
Not appropriate.
Work Step by Step
If $np_0\gt 15$ and $n(1-p_0)\gt15$, then it is appropriate.
$p_0=\frac{x}{n}=\frac{22}{32}=0.6875$
Here $np_0=32\cdot0.6875=22\gt 15$ and $n(1-p_0)=32\cdot0.6875=10\lt 15$, thus it is not appropriate.