Question

In a study of 420 comma 142 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.

Answer 1

Explanation:

n=420142

Users =136

p=0.000324=0.0324%

H0: p =0.000340

Ha: p not equals 0.000340

(Two tailed test at 0.001 level)

p difference = -0.000016

Std error =
`\sqrt{(pq)/(n) }`

=0.00002775

test statistic =-0.576

p value = 0.5646

Since p >0.001, we accept null hypothesis.

i.e. there is no statistical evidence that the proportion differs from 0.0340% significantly.