SOLUTION: Assume that 32.9​% of people have sleepwalked. Assume that in a random sample of 1521 ​adults, 542 have sleepwalked. a. Assuming that the rate of 32.9​% is&#8203

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Question 1125872: Assume that 32.9​% of people have sleepwalked. Assume that in a random sample of 1521 ​adults, 542 have sleepwalked.
a. Assuming that the rate of 32.9​% is​ correct, find the probability that 542 or more of the 1521 adults have sleepwalked.
b. Is that result of 542 or more significantly​ high?
c. What does the result suggest about the rate of 32.9​%?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. 549/1521=36.1%
z=(p-phat)/sqrt(p*(1-p)/n)
=0.032/sqrt(0.329*0.671/1521)
=2.66
b. probability z>2.66 is 0.0039
This is about 2/5 ths of one percent, considered to be statistically significant.
c. That suggests that perhaps the quoted rate of 32.9% is too low.