At the significance level, a = 0.05, do researchers have evidence that admission rate among public school graduates would be lower than for other? 1. State rejection rule 2. Formulate your conclusion based on the items above.
At the significance level, a = 0.05, do researchers have evidence that admission rate among public school graduates would be lower than for other? 1. State rejection rule 2. Formulate your conclusion based on the items above.
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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Pls answer Q: (A provost team conducted a comparative study about admission rates among two groups.)
The other Q: (A provost team conducted a comparative study about admission rates among two groups. They selected n1 = n2 = 200 applicants according to criteria listed below.) is just a Reference to help answer.

Transcribed Image Text:**Hypothesis Testing Example: Educational Admission Rates**
A provost team conducted a comparative study on admission rates among two groups of applicants, with the following data:
- **Group I** consisted of public school graduates, with 93 admitted out of 200 applicants.
- **Group II** encompassed graduates from non-public schools (such as private, homeschooling, or charter), with 107 admitted out of 200 applicants.
**Research Question:**
At a significance level (\(\alpha = 0.05\)), do researchers have evidence that the admission rate among public school graduates is lower than that of other types?
**Steps for Hypothesis Testing:**
1. **State Rejection Rule:**
- Establish the null hypothesis (\(H_0\)) that there is no difference in admission rates between groups, and an alternative hypothesis (\(H_a\)) that the public school group has a lower admission rate.
- Calculate critical value or p-value for rejection criteria.
2. **Formulate Conclusion:**
- Compare the calculated test statistic to the critical value.
- Decide whether to reject or fail to reject the null hypothesis based on statistical evidence.
This educational example demonstrates how to set up and interpret a hypothesis test in the context of admission rates between different school backgrounds.
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