A study of 420 comma 094420,094 cell phone users found that 131131 of them devel

ID: 2907269 • Letter: A

Question

A study of

420 comma 094420,094

cell phone users found that

131131

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

0.03190.0319?%

for those not using cell phones. Complete parts? (a) and? (b).a. Use the sample data to construct a

9595?%

confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system

HW Score: 57 73%, 62 X7.2.27 A thudy of 420.094 cell phone users found trat 131 of them to theee decimal places as needed )

Solution:-

Given that n = 420094 , p = 0.000319

? = sqrt(p*(1-p)*n) = sqrt(0.000319*0.999681*420094) = 11.5744

95% confidence interval for the percentage of cell phone users : 131 +/- 1.96 * 11.57

= 108.3228 , 153.6772

=> For the confidence interval for the proportion, we divide by n:

(108.3228/420094 , 153.6772/420094)

= (0.0002578 , 0.0003658)

= (0.02578 , 0.03658)

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