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
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Author:Amos Gilat
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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.
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
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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