HIERD D. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. Calculate the test statistic. Test statistic 3.25 (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places as needed.)
HIERD D. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. Calculate the test statistic. Test statistic 3.25 (Round to two decimal places as needed.) Calculate the P-value. P-value= (Round to three decimal places 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
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![### Problem Statement
A simple random sample of size \( n = 200 \) drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 123 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the \( \alpha = 0.05 \) level of significance.
### Steps for Solution
#### 1. Recognize the Distribution and Conditions
- Use the normal distribution because the parameter is a proportion, \( p \), and the model conditions are satisfied.
#### 2. Calculate the Test Statistic
- The test statistic is provided as:
\[
\text{Test statistic} = 3.25
\]
(Rounded to two decimal places as needed.)
#### 3. Calculate the P-value
- Calculate the P-value using the test statistic. This value will help determine the statistical significance of the results.
#### 4. Conclusion
- Based on the P-value calculated, compare it with the level of significance (\( \alpha = 0.05 \)) to determine if we should reject the null hypothesis.
### Explanation of Answer Options:
- Below the problem, there are options for viewing examples, getting more help, and function buttons like "Clear all" and "Check answer." These buttons facilitate user interaction with the educational platform to help improve understanding and provide additional assistance if required.
These steps guide users through conducting a hypothesis test for proportion and understanding the statistical significance of the results. Such a structured approach is helpful for educational purposes, ensuring clarity and comprehensiveness in statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfee5922-5e9b-4d5c-bb5d-6eee324be123%2Fdda8b45a-e2e2-466f-bf08-c175b60009b7%2Frpegokb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A simple random sample of size \( n = 200 \) drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 123 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the \( \alpha = 0.05 \) level of significance.
### Steps for Solution
#### 1. Recognize the Distribution and Conditions
- Use the normal distribution because the parameter is a proportion, \( p \), and the model conditions are satisfied.
#### 2. Calculate the Test Statistic
- The test statistic is provided as:
\[
\text{Test statistic} = 3.25
\]
(Rounded to two decimal places as needed.)
#### 3. Calculate the P-value
- Calculate the P-value using the test statistic. This value will help determine the statistical significance of the results.
#### 4. Conclusion
- Based on the P-value calculated, compare it with the level of significance (\( \alpha = 0.05 \)) to determine if we should reject the null hypothesis.
### Explanation of Answer Options:
- Below the problem, there are options for viewing examples, getting more help, and function buttons like "Clear all" and "Check answer." These buttons facilitate user interaction with the educational platform to help improve understanding and provide additional assistance if required.
These steps guide users through conducting a hypothesis test for proportion and understanding the statistical significance of the results. Such a structured approach is helpful for educational purposes, ensuring clarity and comprehensiveness in statistical analysis.
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