Question

In: Statistics and Probability

In a study of 420,079 cell phone users, 133 subjects developed cancer of the brain or nervous system.


In a study of 420,079 cell phone users, 133 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. 

Which of the following is the hypothesis test to be conducted? 

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What is the test statistic?

What is the P-value?

What is the conclusion on the null hypothesis?

What is the final conclusion?



Solutions

Expert Solution

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.00034
Alternative Hypothesis, Ha: p ≠ 0.00034

option D

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.00032 - 0.00034)/sqrt(0.00034*(1-0.00034)/420079)
z = -0.7

P-value = 0.4839
As P-value >= 0.005, fail to reject null hypothesis.

There is no sufficient evidence to conclude that the proportion is different than 0.00034


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