Solution Found!
Do you jog The Gallup Poll once asked a random sample of
Chapter , Problem R7.4(choose chapter or problem)
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.
Questions & Answers
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.
ANSWER:Step 1 of 5
Given:
n = 1540
p = 15% = 0.15