You randomly sample 200 adults, determine whether their income is high or low, and ask them whether they are optimistic about the future. The results are
|
|
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 0.95 confidence interval for the true probability using the R function binomci. What is the estimated probability that someone is optimistic, given that the person has a low income?