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In a study of 412, 914 cell phase users. It was found that 142 developed cancer

ID: 3237298 • Letter: I

Question

In a study of 412, 914 cell phase users. It was found that 142 developed cancer of the brain or nervous system. Assuming that cell phones have no effect. There is 0.000402 probability of a person developing cancer of the or nervous system. We expect about 166 cases of such cancer in a group 2, 914 people. Estimate the probability of 142 or fewer cases of such cancer in a group of 412.914 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? P(x lessthanorequalto 142) = (Round to four decimal places as needed)

Explanation / Answer

p = 166/412914 = 0.000402 and 1-p = q = 0.999598

Mean = n*p = 166

SD = Sqrt(n*p*q) = Sqrt(412914*0.000402*0.999598) = 12.88

P(X<=142)

Z = (142-166)/12.88 = -1.86. From the normal tables the Pvalue at Z = -1.86 is 0.03144

The required probability = 0.0314