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Name: In a study of 420,144 cell phone users,132 subjects developed cancer
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Description: In a study of 420,144 cell phone users,132 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a study of 420,144 cell phone users,132 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?

H0: p=0.00034

H1: p>0.00034

H0: p<0.00034

H1: p=0.00034

H0: p=0.00034

H1: p<0.00034

H0: p>0.00034

H1: p=0.00034

H0: p=0.00034

H1: p≠0.00034

H0: p≠0.00034

H1: p=0.00034

What is the test statistic?

What is the P-value?

P-value=

What is the conclusion on the null hypothesis?

Fail to reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

Reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Fail to reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

What is the final conclusion?

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%.

There

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%.

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%.

There

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%.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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