Question

In a study of 420,118 cell phone​ users, 137 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That​ is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of​ 0.0340% for people who do not use cell phones. Because this issue has such great​ importance, use a 0.005 significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution.

Answer 1

Given : n=420118 , X=137 , The estimate of the sample proportion is ,

The null and alternative hypothesis is ,

The test statistic is ,

The p-value is ,

p-value=

; From standard normal distribution table

Decision : Here , p-value > 0.005

Therefore , fail to reject Ho.

Conclusion : Hence , there is not sufficient evidence to support the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of​ 0.0340% for people who do not use cell phones