In: Statistics and Probability
According to a study conducted by a statistical organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.76. Suppose that a random sample of 110 Americans is obtained. Complete parts (a) through (c).
(a) Describe the sampling distribution of p.
(b) Using the distribution from part (a), what is the probability that at least 80 Americans in the sample are satisfied with their lives?
(c) Using the distribution from part (a), what is the probability that 77 or fewer Americans in the sample are satisfied with their lives?