You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age 67 45 80 80 50 41 40 Ho: p = 0 Ha: p > 0 r = Find the Linear Correlation Coefficient Find the p-value p-value= The p-value is Number of Driver Deaths per 100,000 Greater than a Less than (or equal to) a The p-value leads to a decision to Accept Ho O Do Not Reject Ho O Reject Ho The conclusion is 18 34 20 22 25 21 33 There is a significant linear correlation between driver age and number of driver deaths. O There is a significant positive linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion. about the linear correlation between driver age and number of driver deaths.

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
**Understanding Linear Correlation Between Driver Age and Driver Deaths**

The goal is to determine if there is a positive linear correlation between a driver's age and the number of driver deaths per 100,000 population. The data provided is analyzed at a significance level of 0.05. Here’s a detailed breakdown:

**Data Table:**

| Driver Age | Number of Driver Deaths per 100,000 |
|------------|------------------------------------|
| 67         | 18                                 |
| 45         | 34                                 |
| 80         | 20                                 |
| 80         | 22                                 |
| 50         | 25                                 |
| 41         | 21                                 |
| 40         | 33                                 |

**Hypotheses:**
- Null Hypothesis (\(H_0\)): \(\rho = 0\) (No linear correlation)
- Alternative Hypothesis (\(H_a\)): \(\rho > 0\) (Positive linear correlation)

**Analysis Steps:**

1. **Find the Linear Correlation Coefficient** 
   - Denoted as \(r = \_\_\_\_\_\_\)

2. **Find the p-value**
   - p-value \(= \_\_\_\_\_\_\)

3. **Decision Making:**

   **The p-value is**
   - Greater than \(\alpha\) 
   - Less than (or equal to) \(\alpha\) 

   **The p-value leads to a decision to**
   - Accept \(H_0\)
   - Do Not Reject \(H_0\) (Selected)
   - Reject \(H_0\)

**Conclusion:**
- There is a significant linear correlation between driver age and the number of driver deaths (Selected).

This analysis determines the relationship between driver age and fatalities, utilizing statistical methods to ensure accuracy and significance.
Transcribed Image Text:**Understanding Linear Correlation Between Driver Age and Driver Deaths** The goal is to determine if there is a positive linear correlation between a driver's age and the number of driver deaths per 100,000 population. The data provided is analyzed at a significance level of 0.05. Here’s a detailed breakdown: **Data Table:** | Driver Age | Number of Driver Deaths per 100,000 | |------------|------------------------------------| | 67 | 18 | | 45 | 34 | | 80 | 20 | | 80 | 22 | | 50 | 25 | | 41 | 21 | | 40 | 33 | **Hypotheses:** - Null Hypothesis (\(H_0\)): \(\rho = 0\) (No linear correlation) - Alternative Hypothesis (\(H_a\)): \(\rho > 0\) (Positive linear correlation) **Analysis Steps:** 1. **Find the Linear Correlation Coefficient** - Denoted as \(r = \_\_\_\_\_\_\) 2. **Find the p-value** - p-value \(= \_\_\_\_\_\_\) 3. **Decision Making:** **The p-value is** - Greater than \(\alpha\) - Less than (or equal to) \(\alpha\) **The p-value leads to a decision to** - Accept \(H_0\) - Do Not Reject \(H_0\) (Selected) - Reject \(H_0\) **Conclusion:** - There is a significant linear correlation between driver age and the number of driver deaths (Selected). This analysis determines the relationship between driver age and fatalities, utilizing statistical methods to ensure accuracy and significance.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Similar questions
  • SEE MORE 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