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.)

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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
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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