A study of 420,042 cell phone users found that 130 of them developed cancer of the...

A study of 420,042 cell phone users found that 130 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 0.0323% 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.

a. __% < p < __%

Expert Solution

a)

Level of Significance,   α =    0.05
Number of Items of Interest,   x =   130
Sample Size,   n =    420042

Sample Proportion ,    p̂ = x/n =    0.0003
z -value =   Zα/2 =    1.960   [excel formula =NORMSINV(α/2)]

Standard Error ,    SE = √[p̂(1-p̂)/n] =    0.0000
margin of error , E = Z*SE =    1.960   *   0.0000   =   0.0001

95%   Confidence Interval is
Interval Lower Limit = p̂ - E =    0.000   -   0.0001   =   0.00026
Interval Upper Limit = p̂ + E =   0.000   +   0.0001   =   0.00036

95%   confidence interval is ( 0.03% < p < 0.04% )

orchestra answered 2 years ago

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