Question: 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

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?

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