Answer
0.0375
Work Step by Step
To calculate $P(p̂ \leq 0.59)$, we need to find the z-score:
$z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$
$= \frac{.59-.65}{0.0337}$ = -1.78
$P(z \leq 0.59) = 0.0375$, hence:
$P(p̂ \leq 0.59) = 0.0375$
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