In a beach town, 13% of the residents own boats. A random sample of 100 residents was selected. What is the probability that less than 11% of the residents in the sample own boats?Find the z-table here.

The sample proportion has mean 0.13 and standard error √(0.13 × 0.87 ÷ 100) ≈ 0.0336. For a sample proportion of 0.11, z = (0.11 − 0.13) ÷ 0.0336 ≈ −0.59. The probability below z = −0.59 is about 0.276, so the probability is 0.276.

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