In: Statistics and Probability
15% of all Americans have hearing trouble. a) In a random sample of 120 Americans, what is the probability at most 14% have hearing troubles? b) Suppose that a random sample of 120 Americans who regularly listen to music using headphones results in 24 having hearing trouble. What might you conclude?
(a)
(b)
24 means sample proportion is 24 / 120 = 0.20
Now let us find the probability of getting at least 20% have hearing troubles.
Since above probability is greater than 0.05 so it s not unusual to get a random sample of 120 Americans who regularly listen to music using headphones results in 24 having hearing trouble.