In a study of 420,109 cell phone users, 115 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, altemative 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? O A. Ho p= 0.00034 H: p<0.00034 O B. Ho p=0.00034 H: p#0.00034 O C. Ho p> 0.00034 H,: p=0.00034 O D. Ho p+0.00034 H p=0.00034 O E. Ho p=0.00034 H p>0.00034 OF. Hai p<0.00034 H, p=0.00034 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.)
In a study of 420,109 cell phone users, 115 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, altemative 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? O A. Ho p= 0.00034 H: p<0.00034 O B. Ho p=0.00034 H: p#0.00034 O C. Ho p> 0.00034 H,: p=0.00034 O D. Ho p+0.00034 H p=0.00034 O E. Ho p=0.00034 H p>0.00034 OF. Hai p<0.00034 H, p=0.00034 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![**Hypothesis Testing for Cancer Rates in Cell Phone Users**
In a study of 420,109 cell phone users, 115 subjects developed cancer of the brain or nervous system. The aim is to test the claim that cell phone users develop cancer at a rate different from 0.0340%, the rate for non-users. This is tested using a 0.005 significance level with the P-value method and normal distribution.
**Identify the Hypotheses:**
Choose the correct hypothesis test:
- **A.** \( H_0: p = 0.00034 \)
\( H_1: p \ne 0.00034 \)
- **B.** \( H_0: p = 0.00034 \)
\( H_1: p > 0.00034 \)
- **C.** \( H_0: p \ge 0.00034 \)
\( H_1: p < 0.00034 \)
- **D.** \( H_0: p \ne 0.00034 \)
\( H_1: p = 0.00034 \)
- **E.** \( H_0: p = 0.00034 \)
\( H_1: p > 0.00034 \)
- **F.** \( H_0: p \le 0.00034 \)
\( H_1: p > 0.00034 \)
**Calculate the Test Statistic:**
The test statistic \( z \) is calculated and rounded to two decimal places.
\[ z = \boxed{\phantom{00}} \]
**Determine the P-value:**
The P-value is calculated and rounded to four decimal places.
\[ \text{P-value} = \boxed{\phantom{0000}} \]
**Conclusion on the Null Hypothesis:**
Choose one:
- **A.** Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
- **B.** Reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
- **C.** Fail to reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \).
- **D.** Reject the null hypothesis because the P-value is greater](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6fd35b1-a084-4dca-9b7e-cb9a24f99f4d%2Fc86e3db2-e733-4861-888d-ba8f90410e23%2F8sz9b9a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Cancer Rates in Cell Phone Users**
In a study of 420,109 cell phone users, 115 subjects developed cancer of the brain or nervous system. The aim is to test the claim that cell phone users develop cancer at a rate different from 0.0340%, the rate for non-users. This is tested using a 0.005 significance level with the P-value method and normal distribution.
**Identify the Hypotheses:**
Choose the correct hypothesis test:
- **A.** \( H_0: p = 0.00034 \)
\( H_1: p \ne 0.00034 \)
- **B.** \( H_0: p = 0.00034 \)
\( H_1: p > 0.00034 \)
- **C.** \( H_0: p \ge 0.00034 \)
\( H_1: p < 0.00034 \)
- **D.** \( H_0: p \ne 0.00034 \)
\( H_1: p = 0.00034 \)
- **E.** \( H_0: p = 0.00034 \)
\( H_1: p > 0.00034 \)
- **F.** \( H_0: p \le 0.00034 \)
\( H_1: p > 0.00034 \)
**Calculate the Test Statistic:**
The test statistic \( z \) is calculated and rounded to two decimal places.
\[ z = \boxed{\phantom{00}} \]
**Determine the P-value:**
The P-value is calculated and rounded to four decimal places.
\[ \text{P-value} = \boxed{\phantom{0000}} \]
**Conclusion on the Null Hypothesis:**
Choose one:
- **A.** Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
- **B.** Reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
- **C.** Fail to reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \).
- **D.** Reject the null hypothesis because the P-value is greater
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