56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v||Select an answer V (please enter a decimal) H:? v ||Select an answer v (Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.)
56% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v||Select an answer V (please enter a decimal) H:? v ||Select an answer v (Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.)
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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Question
Please solve for parts D, E, and F.
![**Problem Overview:**
56% of students entering four-year colleges receive a degree within six years. Is this percentage larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of α = 0.10?
---
**Study Steps:**
a. **Hypothesis Test Selection:**
- For this study, we should use [Select an answer].
b. **Formulating Hypotheses:**
- Null Hypothesis (\(H_0\)): \(p =\) [Select an answer] (please enter a decimal).
- Alternative Hypothesis (\(H_1\)): \(p \) [Select an answer] (Please enter a decimal).
c. **Calculating Test Statistic:**
- The test statistic \( z = \) [please show your answer to 3 decimal places].
d. **Finding the P-value:**
- The p-value = [Please show your answer to 4 decimal places].
e. **Comparing P-value with α:**
- The p-value is [\(<\) or \(>\)] \( \alpha \).
f. **Decision Making:**
- Based on this, we should [Select an answer] the null hypothesis.
g. **Conclusion:**
- Thus, the final conclusion is that ...
---
This framework can be used to test if playing intramural sports is associated with a higher or lower rate of graduation within six years compared to the general student population entering four-year colleges. Be sure to complete the blanks with statistical values computed from the data provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fe73833-ff5a-4353-be1d-d2c3741e990b%2Fc506d1c5-d41a-433c-bc51-fce6811d8587%2Fnsphg1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Overview:**
56% of students entering four-year colleges receive a degree within six years. Is this percentage larger than for students who play intramural sports? 183 of the 286 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of α = 0.10?
---
**Study Steps:**
a. **Hypothesis Test Selection:**
- For this study, we should use [Select an answer].
b. **Formulating Hypotheses:**
- Null Hypothesis (\(H_0\)): \(p =\) [Select an answer] (please enter a decimal).
- Alternative Hypothesis (\(H_1\)): \(p \) [Select an answer] (Please enter a decimal).
c. **Calculating Test Statistic:**
- The test statistic \( z = \) [please show your answer to 3 decimal places].
d. **Finding the P-value:**
- The p-value = [Please show your answer to 4 decimal places].
e. **Comparing P-value with α:**
- The p-value is [\(<\) or \(>\)] \( \alpha \).
f. **Decision Making:**
- Based on this, we should [Select an answer] the null hypothesis.
g. **Conclusion:**
- Thus, the final conclusion is that ...
---
This framework can be used to test if playing intramural sports is associated with a higher or lower rate of graduation within six years compared to the general student population entering four-year colleges. Be sure to complete the blanks with statistical values computed from the data provided.
![Certainly! Here's a transcription of the text suitable for an educational website:
---
### Statistical Analysis of Intramural Sports Participation and Degree Completion
e. The p-value is \( \frac{2}{9} \).
f. Based on this, we should [Select an answer] the null hypothesis.
g. Thus, the final conclusion is that …
- [ ] The data suggest the population proportion is significantly larger than 56% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 56%.
- [ ] The data suggest the population proportion is not significantly larger than 56% at \( \alpha = 0.10 \), so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 56%.
- [ ] The data suggest the population proportion is not significantly larger than 56% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 56%.
h. Interpret the p-value in the context of the study.
- [ ] If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 286 students who played intramural sports are surveyed, then there would be a 0.33% chance that more than 64% of the 286 students surveyed received a degree within six years.
- [ ] There is a 0.33% chance of a Type I error.
- [ ] If the sample proportion of students who played intramural sports who received a degree within six years is 64% and if another 286 students who played intramural sports are surveyed, then there would be a 0.33% chance of concluding that more than 56% of all students who played intramural sports received a degree within six years.
- [ ] There is a 0.33% chance that more than 56% of all students who played intramural sports received a degree within six years.
i. Interpret the level of significance in the context of the study.
- [ ] There is a 10% chance that the proportion of all students who played intramural sports who](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fe73833-ff5a-4353-be1d-d2c3741e990b%2Fc506d1c5-d41a-433c-bc51-fce6811d8587%2Fuzkf00g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here's a transcription of the text suitable for an educational website:
---
### Statistical Analysis of Intramural Sports Participation and Degree Completion
e. The p-value is \( \frac{2}{9} \).
f. Based on this, we should [Select an answer] the null hypothesis.
g. Thus, the final conclusion is that …
- [ ] The data suggest the population proportion is significantly larger than 56% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 56%.
- [ ] The data suggest the population proportion is not significantly larger than 56% at \( \alpha = 0.10 \), so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 56%.
- [ ] The data suggest the population proportion is not significantly larger than 56% at \( \alpha = 0.10 \), so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 56%.
h. Interpret the p-value in the context of the study.
- [ ] If the population proportion of students who played intramural sports who received a degree within six years is 56% and if another 286 students who played intramural sports are surveyed, then there would be a 0.33% chance that more than 64% of the 286 students surveyed received a degree within six years.
- [ ] There is a 0.33% chance of a Type I error.
- [ ] If the sample proportion of students who played intramural sports who received a degree within six years is 64% and if another 286 students who played intramural sports are surveyed, then there would be a 0.33% chance of concluding that more than 56% of all students who played intramural sports received a degree within six years.
- [ ] There is a 0.33% chance that more than 56% of all students who played intramural sports received a degree within six years.
i. Interpret the level of significance in the context of the study.
- [ ] There is a 10% chance that the proportion of all students who played intramural sports who
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