According to the National Center for Health Statistics, 15% of all Americans have hearing trouble.
(a) If a simple random sample of 120 Americans is selected, show the verifications steps that the sampling distribution of hat(p) would be approximately normal.
(b) In a random sample of 120 Americans, what is the probability that at most 12% will have hearing trouble?
(c) In a random sample of 120 Americans, what is the probability that between 14% and 18% have hearing trouble?
(d) Suppose that a random sample of 120 Americans who regularly listen to music using headphones results in 26 having hearing trouble. What would hat(p) be for this sample? Where would this hat(p) fall on the bell-shared distribution of all possible sample proportions for samples of size 120 ? Do these calculations make you wonder if listening to music using headphones has an effect on hearing trouble? Explain why or why not.
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2. According to the National Center for Health Statistics,15% of all Americans have hearing trouble a If a simple random sample of 120 Americans is selected,show the verifications steps that the sampling distribution of p would be approximately normal.
b) In a random sample of 120 Americans, what is the probability that at most 12% will have hearing trouble?
(c) In a random sample of 120 Americans, what is the probability that between 14% and 18% have hearing trouble?
d) Suppose that a random sample of 120 Americans who regularly listen to music using headphones results in 26 having hearing trouble. What would p be for this sample? Where would this p fall on the bell-shared distribution of all possible sample proportions for samples of size 120? Do these calculations make you wonder if listening to music using headphones has an effect on hearing trouble?Explain why or why not.
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