SOLUTION: An insurance company checks police records on 500 randomly selected auto accidents and notes that teenagers were at the wheel in 80 of them. Construct a 95% confidence interval est

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Question 1071597: An insurance company checks police records on 500 randomly selected auto accidents and notes that teenagers were at the wheel in 80 of them. Construct a 95% confidence interval estimate of the proportion of auto accidents that involve teenage drivers. Show all work. Just the answer, without supporting work, will receive no credit.
Answer by stanbon(75887) About Me  (Show Source):
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An insurance company checks police records on 500 randomly selected auto accidents and notes that teenagers were at the wheel in 80 of them. Construct a 95% confidence interval estimate of the proportion of auto accidents that involve teenage drivers. Show all work. Just the answer, without supporting work, will receive no credit.
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sample proportion:: 80/500 = 0.16
ME = 1.96*sqrt[0.16*0.84/500] = 0.0325
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95%CI:: 0.16-0.0325 < p < 0.16+0.0325
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95%CI:: 0.1275 < p < 0.1925
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Cheers,
Stan H.
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