Do you jog The Gallup Poll once asked a random sample of

Chapter , Problem R7.4

(choose chapter or problem)

QUESTION:

Do you jog? The Gallup Poll once asked a random sample of 1540 adults, Do you happen to jog? Suppose that in fact 15% of all adults jog.

(a) What is the mean of the sampling distribution of $$\hat{p}$$? Justify your answer.

(b) Find the standard deviation of the sampling distribution of $$\hat{p}$$. Check that the 10% condition is met.

(c) Is the sampling distribution of $$\hat{p}$$ approximately Normal? Justify your answer.

(d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers. Show your work.

Use the sampling distribution of $$\hat{p}$$ to evaluate a claim about a population proportion.

QUESTION:

Do you jog? The Gallup Poll once asked a random sample of 1540 adults, Do you happen to jog? Suppose that in fact 15% of all adults jog.

(a) What is the mean of the sampling distribution of $$\hat{p}$$? Justify your answer.

(b) Find the standard deviation of the sampling distribution of $$\hat{p}$$. Check that the 10% condition is met.

(c) Is the sampling distribution of $$\hat{p}$$ approximately Normal? Justify your answer.

(d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers. Show your work.

Use the sampling distribution of $$\hat{p}$$ to evaluate a claim about a population proportion.

Step 1 of 5

Given:

n = 1540

p = 15% = 0.15

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