SOLUTION: A study of 420,095 Danish cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer w

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Question 126661This question is from textbook Elementary Statistics
: A study of 420,095 Danish cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0340% for those not using cell phones. The data are from the Journal of the National Cancer Institute.
a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
This question is from textbook Elementary Statistics

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A study of 420,095 Danish cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0340% for those not using cell phones. The data are from the Journal of the National Cancer Institute.
a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
p-hat = 135/420095 = 0.0003213559
E = z*sqrt(pq/n) = 1.96*sqrt(0.034*0.0966/420,095)= 0.0001733
---------------------------
0.0001483559 <= p <= 0.00049466
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Cheers,
Stan H.

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