Question 21.21
21.21 Share the wealth. The New York Times conducted a nationwide poll of 1650 randomly selected American adults. Of these, 1089 felt that distributed money and wealth in this country should be more evenly distributed among more people. We can consider the sample to be an SRS.
(a) Give a 95% confidence interval for the proportion of all American adults who, at the time of the poll, felt that distributed money and wealth in this country should be more evenly distributed among more people.
(b) The news article says, “In theory, in 19 cases out of 20, the poll results will differ by no more than 3 percentage points in either direction from what would have been obtained by seeking out all American adults.’’ Explain how your results agree with this statement.