n a study of 420,115 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. Question content area bottom Part 1 Which of the following is the hypothesis test to be​ conducted? A. H0: p≠0.00034 H1: p=0.00034 B. H0: p=0.00034 H1: p≠0.00034 C. H0: p>0.00034 H1: p=0.00034 D. H0: p=0.00034 H1: p<0.00034 E. H0: p=0.00034 H1: p>0.00034 F. H0: p<0.00034 H1: p=0.00034 Part 2 What is the test​ statistic? z=enter your response here ​(Round to two decimal places as​ needed.) Part 3 What is the​ P-value? ​P-value=enter your response here ​(Round to four decimal places as​ needed.) Part 4 What is the conclusion on the null​ hypothesis? A. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α. B. Reject the null hypothesis because the​ P-value is greater than the significance​ level, α. C. Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α. D. Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α. Part 5 What is the final​ conclusion? A. There is 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 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%. C. There is 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 is 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%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a study of 420,115 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.
Question content area bottom
Part 1
Which of the following is the hypothesis test to be​ conducted?
A.
H0: p≠0.00034
H1: p=0.00034
B.
H0: p=0.00034
H1: p≠0.00034
C.
H0: p>0.00034
H1: p=0.00034
D.
H0: p=0.00034
H1: p<0.00034
E.
H0: p=0.00034
H1: p>0.00034
F.
H0: p<0.00034
H1: p=0.00034
Part 2
What is the test​ statistic?
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
What is the​ P-value?
​P-value=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
What is the conclusion on the null​ hypothesis?
A.
Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.
B.
Reject the null hypothesis because the​ P-value is greater than the significance​ level, α.
C.
Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.
D.
Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α.
Part 5
What is the final​ conclusion?
A.
There is 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 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%.
C.
There is 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 is 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%.  

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