A study of 420,040 cell phone users found that 133 of them developed cancer of the...

A study of 420,040 cell phone users found that 133 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 0.0337% 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. (Round to three decimal places as needed.)

Expert Solution

sample proportion, = 0.000317
sample size, n = 420040
Standard error, SE = sqrt(pcap * (1 - pcap)/n)
SE = sqrt(0.000317 * (1 - 0.000317)/420040) = 0.00003

Given CI level is 95%, hence α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

CI = (pcap - z*SE, pcap + z*SE)
CI = (0.000317 - 1.96 * 0.00003 , 0.000317 + 1.96 * 0.00003)
CI = (0.00026 , 0.00038)

i.e. (0.026% , 0.038%)

orchestra answered 2 years ago

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