If it is appropriate to do so, use the normal approximation to the p̂-distribution to calculate the indicated probability: Standard Normal Distribution Table n = 60, p = 0.40 P(p̂ < 0.50) =
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Step 1
First, we need to check if it is appropriate to use the normal approximation. The conditions for using the normal approximation are np ≥ 10 and n(1-p) ≥ 10. In this case, np = 60 * 0.40 = 24 and n(1-p) = 60 * 0.60 = 36. Both of these values are greater than 10, so Show more…
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If it is appropriate to do so, use the normal approximation to the p̂-distribution to calculate the indicated probability: n = 120, p = 0.364 P(0.35 < p̂ < 0.40) =
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