In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog?Find the z-table here.

The sample proportion has mean 0.31 and standard error √[0.31(0.69)/50] ≈ 0.0654. For a sample proportion of 0.30, the z-score is (0.30 − 0.31)/0.0654 ≈ −0.15. The probability of getting a proportion greater than 0.30 is therefore about 0.561, so the answer is C, 0.561.

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