In a study of 420,148 cell phone users, 136 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 0.005significance 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. 1. What is the test statistic? z= _____ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _____ (Round to four decimal places as needed.) 3. 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. 4. What is the final conclusion? A. 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%. B. 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%. C. 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%. 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%.

In a study of 420,148 cell phone users, 136 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 0.005significance 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. 1. What is the test statistic? z= _ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _ (Round to four decimal places as needed.) 3. 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. 4. What is the final conclusion? A. 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%. B. 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%. C. 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%. 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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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

1. What is the test statistic?

z= _____

(Round to two decimal places as needed.)

2. What is the P-value?

P-value= _____

(Round to four decimal places as needed.)

3. 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.

4. What is the final conclusion?

A. 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%.

B. 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%.

C. 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%.

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%.

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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