Question

In a study of 420 comma 052 cell phone​ users, 136 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 0.001 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.

What is the test statistic and P value?

Answer 1

Given : n=420052 , X=136 , The sample proportion is , p=X/n=136/420052=0.000324

Hypothesis : Vs  

The test is two-tailed test.

The test statistic is ,

The p-value is ,

p-value=

; From standard normal distribution table

Decision : Here , p-value =0.7264 > 0.001

Therefore , fail to reject Ho.

Conclusion : Hence , there insufficient 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.