Wow. Just, wow According to a 2013 poll from PublicPolicy Polling, 4% of American voters believe that shape-shifting reptilian people control our world by tak-ing on human form and gaining power. Yes, you read that correctly! (This was a poll about conspiracy theories.)Assume that’s the actual proportion of Americans whohold that belief.a) Use a binomial model to calculate the probability that,in a random sample of 100 people, at least 6% of thosein the sample believe the thing about reptilian peoplecontrolling our world.b) Use a Normal model to calculate the same probability.How does this compare with the answer in part a?c) That same poll found that 51% of American votersbelieve there was a larger conspiracy responsible forthe assassination of President Kennedy. Use a binomialmodel to calculate the probability that, in a randomsample of 100 people, at least 57% of those in thesample believe in the JFK conspiracy theory.d) Use a normal model to calculate the same probability.How does this compare with the answer in part c?e) What do these answers tell you about the importanceof checking that np and nq are both at least 10?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Wow. Just, wow According to a 2013 poll from Public
Policy Polling, 4% of American voters believe that
shape-shifting reptilian people control our world by tak-
ing on human form and gaining power. Yes, you read that
correctly! (This was a poll about conspiracy theories.)
Assume that’s the actual proportion of Americans who
hold that belief.
a) Use a binomial model to calculate the probability that,
in a random sample of 100 people, at least 6% of those
in the sample believe the thing about reptilian people
controlling our world.
b) Use a Normal model to calculate the same probability.
How does this compare with the answer in part a?
c) That same poll found that 51% of American voters
believe there was a larger conspiracy responsible for
the assassination of President Kennedy. Use a binomial
model to calculate the probability that, in a randomsample of 100 people, at least 57% of those in the
sample believe in the JFK conspiracy theory.
d) Use a normal model to calculate the same probability.
How does this compare with the answer in 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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