A study of 420,050 cell phone users found that 131 of them developed cancer of t
ID: 3045102 • Letter: A
Question
A study of 420,050 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to the study of self own use, the rate of such cancer was found to be 0.0334% for those not using cell phones. Complete parts a and B.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 < _% A study of 420,050 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to the study of self own use, the rate of such cancer was found to be 0.0334% for those not using cell phones. Complete parts a and B.
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 < _%
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 < _%
Explanation / Answer
p = 131/420050 = 0.0003
At 95% confidence interval the critical value is z0.025 = 1.96
The interval is
p +/- z0.025 * sqrt(p * (1 -p)/n)
= 0.0003 +/- 1.96 * sqrt(0.0003 * (1 - 0.0003)/420050)
= 0.0003 +/- 0.00005
= 0.00025, 0.00035
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