For a random sample of 200 adults, each adult was classified as having a high or low income, and each was asked whether they are optimistic about the future. The results were
|
|
Yes
|
No
|
Total
|
|
High
|
35
|
42
|
77
|
|
Low
|
80
|
43
|
123
|
|
Total
|
115
|
85
|
200
|
What is the estimated probability that a randomly sampled adult has a high income and is optimistic? Compute a .95 confidence interval for the true probability.