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.

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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.

**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.
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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