SOLUTION: Please help! 4% of Americans surveyed lie frequently. Suppose you conduct a survey of 450 college students and find that 22 of them lie frequently. Compute the probability that,

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Question 388231: Please help!
4% of Americans surveyed lie frequently. Suppose you conduct a survey of 450 college students and find that 22 of them lie frequently. Compute the probability that, in a random sample of 450 students, at least 22 lie frequently, assuming the true percentage is 4%.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Use the normal approximation to the binomial distribution, with , and . Then
. Hence . Now just use any standard normal distribution table to find and hence the answer you want.

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