A article recently reported that 65% of American adults said they would get the COVID vaccine if they were given the opportunity.   Imagine I took a random sample of 700 American adults and found 68% of my sample said they would get the COVID vaccine if they were given the opportunity.  What is the chance I would get results like this if the true proportion were 65%?  Use the sampling distribution of the proportion to find the probability that I would get 68% or more from my sample willing to take the vaccine given a true proportion of 65%. Show your work on paper including what you are entering into technology and put your answer in a complete sentence.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A article recently reported that 65% of American adults said they would get the COVID vaccine if they were given the opportunity.  

Imagine I took a random sample of 700 American adults and found 68% of my sample said they would get the COVID vaccine if they were given the opportunity.  What is the chance I would get results like this if the true proportion were 65%?  Use the sampling distribution of the proportion to find the probability that I would get 68% or more from my sample willing to take the vaccine given a true proportion of 65%.

Show your work on paper including what you are entering into technology and put your answer in a complete sentence.

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Consider that p is population proportion of adults, who said that they would get the COVID vaccine if they were given the opportunity.

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