You want to determine if the graduation rate of different than the known national graduation rate. You randomly sample students who participate in sports from multiple schools. Which test should you apply after you gather data?

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**Determining the Graduation Rate of High-School Student Athletes Compared to the National Average**

*Objective:*
Investigate whether the graduation rate of high-school students who participate in sports is different from the known national graduation rate.

*Method:*
Randomly sample students who participate in sports from multiple schools to gather relevant data.

*Research Question:*
After collecting the data, which statistical test should you apply to determine if there is a significant difference between the graduation rate of student-athletes and the national graduation rate?

*Suggested Test:*
Once the data is collected, you should apply a **one-sample z-test for proportions**. This test is appropriate for comparing the proportion of a single sample (athletes who graduate) to a known population proportion (the national graduation rate). 

*Steps:*
1. State the null hypothesis (H₀): The graduation rate of high-school students who participate in sports is equal to the national graduation rate.
2. State the alternative hypothesis (H₁): The graduation rate of high-school students who participate in sports is different from the national graduation rate.
3. Collect and summarize the data.
4. Apply the one-sample z-test for proportions to analyze the data.
5. Interpret the results to determine if there is a statistically significant difference.

**Resource for Learning More:**
For further understanding of hypothesis testing and statistical analysis, refer to online courses or textbooks on statistics.

*Conclusion:*
This study aims to provide insights on how sports participation might influence high-school students' likelihood of graduating, contributing to educational policy and support programs.
Transcribed Image Text:**Determining the Graduation Rate of High-School Student Athletes Compared to the National Average** *Objective:* Investigate whether the graduation rate of high-school students who participate in sports is different from the known national graduation rate. *Method:* Randomly sample students who participate in sports from multiple schools to gather relevant data. *Research Question:* After collecting the data, which statistical test should you apply to determine if there is a significant difference between the graduation rate of student-athletes and the national graduation rate? *Suggested Test:* Once the data is collected, you should apply a **one-sample z-test for proportions**. This test is appropriate for comparing the proportion of a single sample (athletes who graduate) to a known population proportion (the national graduation rate). *Steps:* 1. State the null hypothesis (H₀): The graduation rate of high-school students who participate in sports is equal to the national graduation rate. 2. State the alternative hypothesis (H₁): The graduation rate of high-school students who participate in sports is different from the national graduation rate. 3. Collect and summarize the data. 4. Apply the one-sample z-test for proportions to analyze the data. 5. Interpret the results to determine if there is a statistically significant difference. **Resource for Learning More:** For further understanding of hypothesis testing and statistical analysis, refer to online courses or textbooks on statistics. *Conclusion:* This study aims to provide insights on how sports participation might influence high-school students' likelihood of graduating, contributing to educational policy and support programs.
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