Answer
$z_0\gt z_{\frac{α}{2}}$: null hypothesis is rejected.
There is enough evidence to conclude that the remapped network has a different proportion of errors than the neural network.
Work Step by Step
$H_0:~p_1=p_2$ versus $H_1:~p_1\ne p_2$
$z_0=\frac{|f_{12}-f_{21}|-1}{\sqrt {f_{12}+f_{21}}}=\frac{|385-456|-1}{\sqrt {385+456}}=2.41$
$z_{\frac{α}{2}}=z_{0.025}$
If the area of the standard normal curve to the right of $z_{0.025}$ is 0.025, then the area of the standard normal curve to the left of $z_{0.025}$ is $1−0.025=0.975$
According to Table V, the z-score which gives the closest value to 0.975 is 1.96.
Since $z_0\gt z_{\frac{α}{2}}$, we reject the null hypothesis.
