In a study of 420 comma 097 cell phone? users, 128 subjects developed cancer of
ID: 3053608 • Letter: I
Question
In a study of 420 comma 097 cell phone? users, 128 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.
Test Statistic (two places)
P-Value: (Four places)
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,
Hypotheses:
H0 : p = 0.00034
HA : p ? 0.00034
Test statistic = -1.24
P - value = 0.2145
Conclusion: Do not reject Ho
Final conclusion: There is not sufficient evidence to support 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.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 128 420097 0.00030469154 0.00002844401 -1.2413322 0.2145