In a study of 287 comma 689 cell phone users, it was found that 31 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000115 probability of a person developing cancer of the brain or nervous system. We therefore expect about 34 cases of such cancer in a group of 287 comma 689 people. Estimate the probability of 31 or fewer cases of such cancer in a group of 287 comma 689 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system?
| n= | 287689 | p= | 0.000115 |
| here mean of distribution=μ=np= | 33.0842 | ||
| and standard deviation σ=sqrt(np(1-p))= | 5.7516 | ||
| for normal distribution z score =(X-μ)/σx | |||
| therefore from normal approximation of binomial distribution: |
probability of 31 or fewer cases :
| probability = | P(X<31) | = | P(Z<-0.36)= | 0.3594 |
(please try 0.3897 or 0.3585 if above comes wrong and revert)
In a study of 287 comma 689 cell phone users, it was found that 31 developed...
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