16% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 377 randomly selected students who receive financial aid, 72 of them volunteered their time. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer (please enter a decimal) H: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 16%. O The data suggest the populaton proportion is significantly higher than 16% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 16%. O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 16%.
16% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 377 randomly selected students who receive financial aid, 72 of them volunteered their time. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer (please enter a decimal) H: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 16%. O The data suggest the populaton proportion is significantly higher than 16% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 16%. O The data suggest the population proportion is not significantly higher than 16% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 16%.
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
![**Understanding Hypothesis Testing for College Students Volunteering**
This educational exercise explores whether college students receiving financial aid volunteer more than the general student population. We begin by testing if the proportion of these students volunteering exceeds 16% at a significance level of α = 0.10.
**Step-by-step Analysis:**
1. **Study Selection:**
- Choose the appropriate test: [Select an answer]
2. **Hypotheses Setup:**
- Null hypothesis (\(H_0\)): Choose the correct inequality and enter the decimal for the population proportion.
- Alternative hypothesis (\(H_1\)): Choose the correct inequality and enter the decimal for the population proportion.
3. **Calculating the Test Statistic:**
- \( \text{Test statistic} = \) [Enter your answer to 3 decimal places]
4. **Determining the P-value:**
- \( \text{P-value} = \) [Enter your answer to 4 decimal places]
5. **Compare the P-value with α:**
- Analyze whether the p-value is greater than, less than, or equal to α.
6. **Conclusion Based on Hypotheses:**
- Decide to accept or reject the null hypothesis based on the p-value.
7. **Final Interpretation:**
- Select the correct conclusion about the population proportion:
- Option 1: Suggests it is not significantly higher.
- Option 2: Suggests it is significantly higher.
- Option 3: Suggests it is equal to 16%.
This exercise encourages understanding of hypothesis testing, including setting up and interpreting results to make evidence-based conclusions about the behavior of a population subset.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64061994-5f1c-449d-8fb6-0cc2c5134779%2Fa5f12778-57ec-4e56-b7c4-8ff65956b302%2Fzft1g9h_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Hypothesis Testing for College Students Volunteering**
This educational exercise explores whether college students receiving financial aid volunteer more than the general student population. We begin by testing if the proportion of these students volunteering exceeds 16% at a significance level of α = 0.10.
**Step-by-step Analysis:**
1. **Study Selection:**
- Choose the appropriate test: [Select an answer]
2. **Hypotheses Setup:**
- Null hypothesis (\(H_0\)): Choose the correct inequality and enter the decimal for the population proportion.
- Alternative hypothesis (\(H_1\)): Choose the correct inequality and enter the decimal for the population proportion.
3. **Calculating the Test Statistic:**
- \( \text{Test statistic} = \) [Enter your answer to 3 decimal places]
4. **Determining the P-value:**
- \( \text{P-value} = \) [Enter your answer to 4 decimal places]
5. **Compare the P-value with α:**
- Analyze whether the p-value is greater than, less than, or equal to α.
6. **Conclusion Based on Hypotheses:**
- Decide to accept or reject the null hypothesis based on the p-value.
7. **Final Interpretation:**
- Select the correct conclusion about the population proportion:
- Option 1: Suggests it is not significantly higher.
- Option 2: Suggests it is significantly higher.
- Option 3: Suggests it is equal to 16%.
This exercise encourages understanding of hypothesis testing, including setting up and interpreting results to make evidence-based conclusions about the behavior of a population subset.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman