Question

In: Statistics and Probability

A study of 420, 005 cell phone users found that 130 of them developed cancer of the brain or nervous system.

A study of 420, 005 cell phone users found that 130 of them developed cancer of the brain or nervous system. Prior to this study of cell phones use, the rate of such cancer was found to be 0.0419% for those not using cell phones.

a) Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.

Expert Solution

A study of 420, 005 cell phone users found that 130 of them developed cancer of the brain or nervous system. Prior to this study of cell phones use, the rate of such cancer was found to be 0.0419% for those not using cell phones.

Where ,

P = 130 / 420005 = 0.000309 = 0.0309 %

q = 1 - 0.0309 =0.9691

a) Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system

For 90% CI

90 / 100 = 0.9

= 1- 0.9 =0.1

Z_/2 = Z_0.1_/2 = Z_0.05 = 1.645

Margin of Error

E = Z_{/2 *}

= 1.645 *

= 1.645 * 0.000267

= 0.000439215

Hence CI is

P E = 0.0309 0.000439215

= (0.0309 - 0.000439215) , (0.0309 + 0.000439215)

= ( 0.0305 , 0.0313)

orchestra answered 2 years ago

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