To estimate proportions using bootstrapping methods, report successes as 1 and failures as 0. Then follow the same procedures that we used to estimate a mean using bootstrapping. Suppose a random sample of 25 50- to 64-year-old Americans were asked if they feel younger than their actual age. In the data, a 1 indicates the individual feels younger and a 0 indicates the individual does not feel younger.

(a) What is the sample proportion of 50- to 64-year-olds who feel younger than their actual age?
(b) Explain why the normal model cannot be used to construct a confidence interval about the population proportion.
(c) Construct a 95% confidence interval for the proportion of 50- to 64-year-olds who feel younger than their actual age by obtaining 1000 bootstrap samples?

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