Answer
0.0047
Work Step by Step
To calculate $P(p̂ \leq 0.68),$ we need to find the z-score:
$z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$
$= \frac{0.68 - 0.8}{0.046}$ = -2.61
$P(z \leq -2.61) = 0.0047$, hence:
$P(x̄ \leq 0.68) = 0.0047$
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