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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
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?
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