Step 1 :n=71, x=12, \( \hat{p} = \frac{12}{71} \), p_0 = 0.3
Step 2 :Test statistic: \( z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}} = \frac{\frac{12}{71} - 0.3}{\sqrt{\frac{0.3 (1 - 0.3)}{71}}} = -3.088 \)
Step 3 :\( p \)-value: \( 2 * P(Z < -3.088) = 2 * 0.0010 = 0.0020 \)