Answer
$P(p̂ \leq 0.70) = 0.1379$
Work Step by Step
To calculate $P(p̂ \leq 70)$, we need to find the z-score:
$z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$
$= \frac{.70-.72}{0.0183}$ = -1.09
$P(z \leq -1.11) = 0.1379$, hence:
$P(p̂ \leq 0.70) = 0.1379$