Answered: Marriage According to a Pew Research…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

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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