Marriage According to a Pew Research survey, about 27% of American adults are
Chapter 17, Problem 5(choose chapter or problem)
Marriage According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. This is based on a sample, but assume that this percentage is correct for all American adults. a) Using a binomial model, what is the probability that, in a sample of 20 American adults, 25% or fewer of the people in the sample are pessimistic about the future of marriage and family? b) Now use a Normal model to compute that probability. How does this compare to your answer from part a? c) Using a Binomial model, what is the probability that, in a sample of 700 American adults, 25% or fewer of the people of the people in the sample are pessimistic about the future of marriage and family? d) Now use a Normal model to compute that probability. How does this compare to your answer from part c? e) What do these answers tell you about the importance of checking that np and nq are both at least 10?
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