Answer
No, we cannot use the normal to approximate the binomial.
Work Step by Step
If np $\geq$ 5 and nq $\geq$ 5 we can use the normal distribution to approximate the binomial.
np = 15 $\times$ 0.70 = 10.5
nq = 15 $\times$ 0.30 = 4.5
Since np $\geq$ 5 and nq $\lt$ 5, we cannot use the normal distribution to approximate the binomial.