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Assume that 19.5​% of people have sleepwalked. Assume that in a random sample of 1512 ​adults,...

Assume that 19.5​% of people have sleepwalked. Assume that in a random sample of 1512

​adults, 338 have sleepwalked. a. Assuming that the rate of 19.5​% is​ correct, find the probability that 338 or more of the

1512 adults have sleepwalked. b. Is that result of 338 or more significantly​ high?

c. What does the result suggest about the rate of 19.5%

19.519.5​%?

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Answer #1

a)
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.2235 - 0.195)/sqrt(0.195*(1-0.195)/1512)
z = 2.8

P(z > 2.8) = 0.0026

b)
Yes the result is significantly high

c)
The rate of people sleepwalked is greater than 19.5%

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