Answer
0.0606
Work Step by Step
To calculate $P(p̂ \leq 0.40)$, we need to find the z-score:
$z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$
$= \frac{.40-.42}{0.013}$ = -1.55
$P(z \leq -1.55) = 0.0606$, hence:
$P(p̂ \leq 0.40) = 0.0606$
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