An insurance company checks police records on 579 accidents selected at random and notes that teenager were at the wheel in 95 of them. Complete parts a) through d). ● ... a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers 95% CI= (%%) (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Constructing a 95% Confidence Interval for Teenage Drivers in Auto Accidents

An insurance company examines police records for a sample of 579 auto accidents selected at random. The records reveal that teenagers were driving in 95 of these accidents. Based on this data, our task is to complete parts (a) through (d).

#### a) Confidence Interval Calculation

To estimate the percentage of all auto accidents involving teenage drivers, we need to construct a 95% confidence interval (CI).

#### **Formula:**
The 95% confidence interval is calculated using the formula:

\[ 
95\% \text{ CI} = [\_\_\_ \%, \_\_\_ \%]
\]

- **Note:** Ensure to round your final answers to one decimal place as needed.

This exercise requires you to determine the confidence interval that will reflect the percentage estimate of teenage involvement in auto accidents accurately, using appropriate statistical methods.

#### Instructions:
- Calculate the sample proportion for teenage drivers.
- Use the sample proportion to compute the standard error.
- Apply the margin of error for a 95% CI using the critical value.
- Substitute these into the formula above to complete the confidence interval estimation. 

Please refer to the resources provided below for additional guidance and examples:
- **View an example**
- **Get more help** 

Finally, verify your calculated interval using the provided option to clear or check your answer.
Transcribed Image Text:### Constructing a 95% Confidence Interval for Teenage Drivers in Auto Accidents An insurance company examines police records for a sample of 579 auto accidents selected at random. The records reveal that teenagers were driving in 95 of these accidents. Based on this data, our task is to complete parts (a) through (d). #### a) Confidence Interval Calculation To estimate the percentage of all auto accidents involving teenage drivers, we need to construct a 95% confidence interval (CI). #### **Formula:** The 95% confidence interval is calculated using the formula: \[ 95\% \text{ CI} = [\_\_\_ \%, \_\_\_ \%] \] - **Note:** Ensure to round your final answers to one decimal place as needed. This exercise requires you to determine the confidence interval that will reflect the percentage estimate of teenage involvement in auto accidents accurately, using appropriate statistical methods. #### Instructions: - Calculate the sample proportion for teenage drivers. - Use the sample proportion to compute the standard error. - Apply the margin of error for a 95% CI using the critical value. - Substitute these into the formula above to complete the confidence interval estimation. Please refer to the resources provided below for additional guidance and examples: - **View an example** - **Get more help** Finally, verify your calculated interval using the provided option to clear or check your answer.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman