In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters?Find the z-table here.

The sample proportion has mean 0.62 and standard error √(0.62 × 0.38 ÷ 75) ≈ 0.056. For a sample proportion of 0.58, the z-score is (0.58 − 0.62) ÷ 0.056 ≈ −0.71. The probability of being below z = −0.71 is about 0.238, so the answer is A, 0.238.

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