A study of 420.011 cell phone users found that 130 of them developed cancer of t

Question

A study of 420.011 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 0.0442% for those not using cell phones. Complete parts (a) and (b). 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. (Round to three decimal places as needed.) b. Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not? A. Yes, because 0.0442% is included in the confidence interval. B. Yes, because 0.0442% is not included in the confidence interval. C. No, because 0.0442% is not included in the confidence interval. D. No, because 0.0442% is included in the confidence interval.

Explanation / Answer

n = 420

x = 130

a) We have to construct a 90% confidence interval.

By using TI-84 we can solve this question easily.

Path is STAT --------> TESTS -------> 1-PropZInt ------->Enter values

x: 130

n: 420

C-Level: 0.90

Calculate

We get confidence interval ( 0.272 , 0.347) = > ( 27.2% , 34.7%)

b) 0.0442% is not belongs to confidence interval.'

So correct option is C. No, because 0.0442% is not included in the confidence interval.

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