A study of 420,059 cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0419% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. 0.027 %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Educational Content: Confidence Interval Analysis**

**Study Overview:**
A study involving 420,059 cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this, the rate of such cancer was found to be 0.0419% among those not using cell phones. 

**Tasks:**

**a. Confidence Interval Construction:**
Using the sample data, the task is to construct a 95% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system.

*Confidence Interval:*
\[ 0.027\% < p < 0.037\% \]

(Note: Round to three decimal places as needed.)

**b. Comparative Analysis:**
Do cell phone users appear to have a different rate of cancer of the brain or nervous system compared to the known rate of 0.0419% in non-cell phone users? Explain your reasoning.

*Multiple Choice Options:*
- **A.** Yes, because 0.0419% is not included in the confidence interval.
- **B.** No, because 0.0419% is included in the confidence interval.
- **C.** No, because 0.0419% is not included in the confidence interval.
- **D.** Yes, because 0.0419% is included in the confidence interval.

*Instructions:*
Select an answer and click "Check Answer" to confirm your choice.

This exercise demonstrates how to apply statistical methods to compare sample data against known population parameters using confidence intervals.
Transcribed Image Text:**Educational Content: Confidence Interval Analysis** **Study Overview:** A study involving 420,059 cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to this, the rate of such cancer was found to be 0.0419% among those not using cell phones. **Tasks:** **a. Confidence Interval Construction:** Using the sample data, the task is to construct a 95% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system. *Confidence Interval:* \[ 0.027\% < p < 0.037\% \] (Note: Round to three decimal places as needed.) **b. Comparative Analysis:** Do cell phone users appear to have a different rate of cancer of the brain or nervous system compared to the known rate of 0.0419% in non-cell phone users? Explain your reasoning. *Multiple Choice Options:* - **A.** Yes, because 0.0419% is not included in the confidence interval. - **B.** No, because 0.0419% is included in the confidence interval. - **C.** No, because 0.0419% is not included in the confidence interval. - **D.** Yes, because 0.0419% is included in the confidence interval. *Instructions:* Select an answer and click "Check Answer" to confirm your choice. This exercise demonstrates how to apply statistical methods to compare sample data against known population parameters using confidence intervals.
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