In a study of 420,054 cell phone users, 145 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 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<000034 H, p= 0.00034 O C. Họ: p#0.00034 H, p= 0.00034 O D. Ho p=0.00034 H,: p>0.00034 nts VE Ho p=0.00034 OF Ho p= 0.00034 H p<0.00034 H, p#0.00034 pur What is the test statistic? z= SS (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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8.2-66
**Study Overview:**

In a study involving 420,054 cell phone users, 145 subjects developed cancer of the brain or nervous system. This study aims to test the claim of a somewhat common belief that such cancers are affected by cell phone use. Specifically, it tests whether cell phone users develop cancer of the brain or nervous system at a rate different from 0.0340%, which is the rate for people who do not use cell phones. Due to the significant importance of this issue, a 0.005 significance level is used.

**Objectives:**

1. Identify the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_1\)).
2. Determine the test statistic, \(P\)-value, conclusion about the null hypothesis, and final conclusion addressing the original claim.

**Hypothesis Test Options:**
- **A:** \( H_0: p > 0.00034 \)
  \( H_1: p \leq 0.00034 \)

- **B:** \( H_0: p < 0.00034 \)
  \( H_1: p = 0.00034 \)

- **C:** \( H_0: p \neq 0.00034 \)
  \( H_1: p = 0.00034 \)

- **D:** \( H_0: p = 0.00034 \)
  \( H_1: p > 0.00034 \)

- **E:** \( H_0: p = 0.00034 \)
  \( H_1: p \neq 0.00034 \)

- **F:** \( H_0: p = 0.00034 \)
  \( H_1: p < 0.00034 \)

**Correct Hypothesis Test:** 
- **E**: \(H_0: p = 0.00034\), \(H_1: p \neq 0.00034\)

**Test Statistic:**

The field provided for the test statistic is labeled \( z = \), with instructions to round to two decimal places as needed. 

This test involves using the \( P\)-value method and the normal distribution as an approximation to the binomial distribution to assess whether there is statistical evidence to reject the null hypothesis in favor of the alternative hypothesis.
Transcribed Image Text:**Study Overview:** In a study involving 420,054 cell phone users, 145 subjects developed cancer of the brain or nervous system. This study aims to test the claim of a somewhat common belief that such cancers are affected by cell phone use. Specifically, it tests whether cell phone users develop cancer of the brain or nervous system at a rate different from 0.0340%, which is the rate for people who do not use cell phones. Due to the significant importance of this issue, a 0.005 significance level is used. **Objectives:** 1. Identify the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_1\)). 2. Determine the test statistic, \(P\)-value, conclusion about the null hypothesis, and final conclusion addressing the original claim. **Hypothesis Test Options:** - **A:** \( H_0: p > 0.00034 \) \( H_1: p \leq 0.00034 \) - **B:** \( H_0: p < 0.00034 \) \( H_1: p = 0.00034 \) - **C:** \( H_0: p \neq 0.00034 \) \( H_1: p = 0.00034 \) - **D:** \( H_0: p = 0.00034 \) \( H_1: p > 0.00034 \) - **E:** \( H_0: p = 0.00034 \) \( H_1: p \neq 0.00034 \) - **F:** \( H_0: p = 0.00034 \) \( H_1: p < 0.00034 \) **Correct Hypothesis Test:** - **E**: \(H_0: p = 0.00034\), \(H_1: p \neq 0.00034\) **Test Statistic:** The field provided for the test statistic is labeled \( z = \), with instructions to round to two decimal places as needed. This test involves using the \( P\)-value method and the normal distribution as an approximation to the binomial distribution to assess whether there is statistical evidence to reject the null hypothesis in favor of the alternative hypothesis.
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