SOLUTION: In a study of 420,009 cell phone​ users, 157 subjects developed brain cancer. Test the claim that cell phone users develop brain cancer at a rate that is different from the r

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Question 1044443: In a study of 420,009 cell phone​ users, 157 subjects developed brain cancer. Test the claim that cell phone users develop brain cancer 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. Use this information to answer the following questions.
B. What is the test statistic?
C. What is the P-vaule
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho:P=0.000340
Ha:P NE to 0.000340
alpha=0.005
test statistic is one-sample proportion (phat-p)/{sqrt(p*(1-p))/n}
z=(phat-0.000340)/sqrt{(0.000340)(0.99966)/420009}; phat is 157/420,009=0.00037
SE=sqrt {(0.0003399)/420009}=0.00002845
Critical value is z>|2.576|
Calculation is z= -(0.00003)/SE=-1.05
p-value is 0.23
Fail to reject Ho