In: Statistics and Probability
n a study of
420,112 cell phone users, 110 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.
Which of the following is the hypothesis test to be conducted?
A.
Upper H 0 : p greater than 0.00034H0: p>0.00034
Upper H 1 : p equals 0.00034H1: p=0.00034
B.
Upper H 0 : p less than 0.00034H0: p<0.00034
Upper H 1 : p equals 0.00034H1: p=0.00034
C.
Upper H 0 : p equals 0.00034H0: p=0.00034
Upper H 1 : p greater than 0.00034H1: p>0.00034
D.
Upper H 0 : p equals 0.00034H0: p=0.00034
Upper H 1 : p not equals 0.00034H1: p≠0.00034
E.
Upper H 0 : p equals 0.00034H0: p=0.00034
Upper H 1 : p less than 0.00034H1: p<0.00034
F.
Upper H 0 : p not equals 0.00034H0: p≠0.00034
Upper H 1 : p equals 0.00034H1: p=0.00034
What is the test statistic?
zequals=nothing
(Round to two decimal places as needed.)
What is the P-value?
P-valueequals=nothing
(Round to four decimal places as needed.)
What is the conclusion on the null hypothesis?
A.
Fail to rejectFail to reject
the null hypothesis because the P-value is
less than or equal toless than or equal to
the significance level,
alphaα.
B.
RejectReject
the null hypothesis because the P-value is
greater thangreater than
the significance level,
alphaα.
C.
Fail to rejectFail to reject
the null hypothesis because the P-value is
greater thangreater than
the significance level,
alphaα.
D.
RejectReject
the null hypothesis because the P-value is
less than or equal toless than or equal to
the significance level,
alphaα.
What is the final conclusion?
A.There
is notis not
sufficient evidence to warrant rejection of 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%.
B.There
isis
sufficient evidence to warrant rejection of 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%.
C.There
is notis 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%.
D.There
isis
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%.