Question: Do you jog? 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 p^? Justify your answer.
(b) Find the standard deviation of the sampling distribution of p^ . Check that the 10% condition is met.
(c) Is the sampling distribution of p^ approximately Normal? Justify your answer.
(d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.