The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the true proportion of all adults who jog is p = 0.15. a) What is the mean of the sampling distribution of ? b) Find the standard deviation of the sampling distribution of . Check that the 10% condition is met. c) Is the sampling distribution of approximately Normal? Justify your answer. d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?”
Suppose that the true proportion of all adults who jog is p = 0.15.
a) What is the mean of the sampling distribution of ?
b) Find the standard deviation of the sampling distribution of . Check that the 10%
condition is met.
c) Is the sampling distribution of approximately Normal? Justify your answer.
d) Find the probability that between 13% and 17% of a random sample of 1540 adults
are joggers.

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