17% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 310 randomly selected students who receive financial aid, 71 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: ? Select an answer H₁: ? Select an answer c. The test statistic ? C = = O (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly higher than 17% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%. O The data suggest the population proportion is not significantly higher than 17% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%. The data suggest the population proportion is not significantly higher than 17% at a = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
17% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 310 randomly selected students who receive financial aid, 71 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: ? Select an answer H₁: ? Select an answer c. The test statistic ? C = = O (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the populaton proportion is significantly higher than 17% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%. O The data suggest the population proportion is not significantly higher than 17% at a = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%. The data suggest the population proportion is not significantly higher than 17% at a = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
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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![### Statistical Hypothesis Testing for Volunteer Proportions Among College Students
17% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 310 randomly selected students who receive financial aid, 71 of them volunteered their time. What can be concluded at the \(\alpha = 0.10\) level of significance?
#### a. Methodology
- For this study, we should use [Select an answer] test.
#### b. Hypotheses
- The null and alternative hypotheses are:
- \(H_0\): [Select an answer] (please enter a decimal)
- \(H_1\): [Select an answer] (please enter a decimal)
#### c. Test Statistic Calculation
- The test statistic is [_____] (please show your answer to 3 decimal places).
#### d. P-value Calculation
- The p-value is [_____] (please show your answer to 4 decimal places).
#### e. Comparing P-value and Alpha
- The p-value is [Select an answer] \(\alpha\)
#### f. Decision Rule
- Based on this, we should [Select an answer] the null hypothesis.
#### g. Conclusion
- Thus, the final conclusion is that:
- ○ The data suggest the population proportion is significantly higher than 17% at \(\alpha = 0.10\), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
- ○ The data suggest the population proportion is not significantly higher than 17% at \(\alpha = 0.10\), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%.
- ○ The data suggest the population proportion is not significantly higher than 17% at \(\alpha = 0.10\), so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
### Resources
- Hint: [Help]
- Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
#### Explanation:
This content involves performing a hypothesis test to compare the volunteer rate of students receiving financial aid against the known rate for all students. The task entails choosing the appropriate statistical test, calculating the test statistic, determining a p-value, and making a conclusion based on the comparison between the p-value and the significance](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16eaad05-c857-4f7c-933f-0b1cc2121bed%2F0b872bf0-a547-49f6-8a37-e9fc5c96de0f%2Fnsb0orm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Hypothesis Testing for Volunteer Proportions Among College Students
17% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 310 randomly selected students who receive financial aid, 71 of them volunteered their time. What can be concluded at the \(\alpha = 0.10\) level of significance?
#### a. Methodology
- For this study, we should use [Select an answer] test.
#### b. Hypotheses
- The null and alternative hypotheses are:
- \(H_0\): [Select an answer] (please enter a decimal)
- \(H_1\): [Select an answer] (please enter a decimal)
#### c. Test Statistic Calculation
- The test statistic is [_____] (please show your answer to 3 decimal places).
#### d. P-value Calculation
- The p-value is [_____] (please show your answer to 4 decimal places).
#### e. Comparing P-value and Alpha
- The p-value is [Select an answer] \(\alpha\)
#### f. Decision Rule
- Based on this, we should [Select an answer] the null hypothesis.
#### g. Conclusion
- Thus, the final conclusion is that:
- ○ The data suggest the population proportion is significantly higher than 17% at \(\alpha = 0.10\), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
- ○ The data suggest the population proportion is not significantly higher than 17% at \(\alpha = 0.10\), so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%.
- ○ The data suggest the population proportion is not significantly higher than 17% at \(\alpha = 0.10\), so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 17%.
### Resources
- Hint: [Help]
- Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
#### Explanation:
This content involves performing a hypothesis test to compare the volunteer rate of students receiving financial aid against the known rate for all students. The task entails choosing the appropriate statistical test, calculating the test statistic, determining a p-value, and making a conclusion based on the comparison between the p-value and the significance
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