A study of 420,010 cell phone users found that 0.0319% 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 0.0338% for those not using cell phones. Complete parts (a) and (b). CH 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. %
A study of 420,010 cell phone users found that 0.0319% 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 0.0338% for those not using cell phones. Complete parts (a) and (b). CH 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. %
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Study on Cell Phone Use and Cancer
A study of 420,010 cell phone users found that 0.0319% 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 0.0338% for those not using cell phones. Complete parts (a) and (b).
---
#### a. Constructing a Confidence Interval
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.
\[ \%\ < p <\ \% \]
*(Do not round until the final answer. Then round to three decimal places as needed.)*
---
#### b. Analyzing Rates of Cancer Among Cell Phone Users
Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not?
Options:
- **A. No**, because 0.0338% is not included in the confidence interval.
- **B. Yes**, because 0.0338% is included in the confidence interval.
- **C. No**, because 0.0338% is included in the confidence interval.
- **D. Yes**, because 0.0338% is not included in the confidence interval.
---
### Explanation of Terms
- **Confidence Interval**: A range of values derived from sample data that is likely to contain the true population parameter.
- **95% Confidence Interval**: This means we are 95% confident that the true percentage of cell phone users who develop this type of cancer falls within the calculated range.
### Solution Outline
1. **Calculate the 95% Confidence Interval**:
- Use sample data and statistical formulas to find the lower and upper bounds of the interval.
2. **Interpret the Confidence Interval**:
- Compare this interval with the 0.0338% rate among non-cell phone users to determine if there is a significant difference.
---
This exercise helps in understanding how statistical tools like confidence intervals can be used to make inferences about population parameters and ascertain if there are significant differences in rates between different groups.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadafbebc-0641-4102-b64a-091c0f61c4bb%2F8601d7c1-8578-46ee-9ca0-e8b061fa6bf5%2Ftm30jf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Study on Cell Phone Use and Cancer
A study of 420,010 cell phone users found that 0.0319% 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 0.0338% for those not using cell phones. Complete parts (a) and (b).
---
#### a. Constructing a Confidence Interval
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.
\[ \%\ < p <\ \% \]
*(Do not round until the final answer. Then round to three decimal places as needed.)*
---
#### b. Analyzing Rates of Cancer Among Cell Phone Users
Do cell phone users appear to have a rate of cancer of the brain or nervous system that is different from the rate of such cancer among those not using cell phones? Why or why not?
Options:
- **A. No**, because 0.0338% is not included in the confidence interval.
- **B. Yes**, because 0.0338% is included in the confidence interval.
- **C. No**, because 0.0338% is included in the confidence interval.
- **D. Yes**, because 0.0338% is not included in the confidence interval.
---
### Explanation of Terms
- **Confidence Interval**: A range of values derived from sample data that is likely to contain the true population parameter.
- **95% Confidence Interval**: This means we are 95% confident that the true percentage of cell phone users who develop this type of cancer falls within the calculated range.
### Solution Outline
1. **Calculate the 95% Confidence Interval**:
- Use sample data and statistical formulas to find the lower and upper bounds of the interval.
2. **Interpret the Confidence Interval**:
- Compare this interval with the 0.0338% rate among non-cell phone users to determine if there is a significant difference.
---
This exercise helps in understanding how statistical tools like confidence intervals can be used to make inferences about population parameters and ascertain if there are significant differences in rates between different groups.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
