Marriage According to a Pew Research survey, about 27% of American adults are pessimistic about the future of mar-riage 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 ofthe people in the sample are pessimistic about thefuture 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 ofthe people of the people in the sample are pessimisticabout 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 importanceof checking that np and nq are both at least 10?
Marriage According to a Pew Research survey, about 27% of American adults are pessimistic about the future of mar-riage 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 ofthe people in the sample are pessimistic about thefuture 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 ofthe people of the people in the sample are pessimisticabout 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 importanceof checking that np and nq are both at least 10?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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Question
Marriage According to a Pew Research survey, about 27%
of American adults are pessimistic about the future of mar-
riage and the family. This is based on a sample, but assume
riage 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?
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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