assuming that the rate of 27% is correct, find the probability that 433 or more of the 1456 adults have sleepwalked. b) is that result of 433 or more significantly high? c) What does the result suggest about the rate of 27%?

College Algebra
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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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Assume that 27% of people have sleepwalked. Assume that in a random sample of 1456 adults, 433 have sleepwalked. 

a) assuming that the rate of 27% is correct, find the probability that 433 or more of the 1456 adults have sleepwalked.

b) is that result of 433 or more significantly high?

c) What does the result suggest about the rate of 27%?

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