Answer
$P(p̂ \geq 0.167) = 0.9913$. This implies that about 99 out of 100 samples of size n = 300 will result in at least 50 (or 16.7%) smokers.
Work Step by Step
50/300 = 0.17
Using data from part a for $p̂ \geq 0.17$, we have:
$z = \frac{0.167 - 0.224}{0.024} = -2.375$
$P(p̂ \geq 0.167) = P(z > -2.375) = 0.9913$
