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 100 americans is obtained.
complete parts? (a) through? (c). ? (a) describe the sampling distribution of modifyingabove p with caret .
choose the correct answer below. a. the distribution of modifyingabove p with caret can be approximated by a normal distribution with mu subscript modifyingabove p with caret baseline equals 0.76 and sigma subscript modifyingabove p with caret baseline equals 0.086 .
b. the distribution of modifyingabove p with caret is uniform. c. the distribution of modifyingabove p with caret can be approximated by a normal distribution with mu subscript modifyingabove p with caret baseline equals 0.76 and sigma subscript modifyingabove p with caret baseline equals 0.043 . your answer is correct. d. the distribution of modifyingabove p with caret cannot be approximated by the normal distribution.? instead, a binomial distribution with nequals 100 and pequals 0.76 should be used.
(b) using the distribution from part? (a), what is the probability that at least 82 americans in the sample are satisfied with their? lives