In a study of 420,070 cell phone users, 118 subjects developed cancer of the bra
ID: 3264688 • Letter: I
Question
In a study of 420,070 cell phone users, 118 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.
What is the test statistic?
What is the P-value?
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.00034
HA : p 0.00034
Hypothesis test results:
Hence,
Test statistic = -2.08 (Rounded off to 2 decimal places)
p - Value = 0.0378
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 118 420070 0.00028090556 0.000028444924 -2.0775037 0.0378