Quick note for Excel users: You can download the table in Excel file as instructed below. Then compute the expected cell counts, and then use =CHISQ.TEST() function in Excel. (If need help, watch the video at the bottom of this page. You may skip the first 4 minutes of the video.) A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that the student enrolls in upon entering the sixth grade. The researcher uses SAT data for the same group of students, grouping students by college readiness. The data is displayed below. Collo

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## Effects of Sixth Grade Math Enrollment on Future SAT Outcomes

### Instructions for Excel Users:

You can download the table in Excel format as instructed below. Then, compute the expected cell counts and use the `=CHISQ.TEST()` function in Excel.

*If needed, watch the video at the bottom of this page. You may skip the first 4 minutes of the video.*

### Research Overview:

A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that each student enrolls in upon entering the sixth grade and uses SAT data for the same group of students, grouping them by college readiness. The data is displayed below.

#### Data Table:

| Grade-level | College Ready | Likely College Ready | Not College Ready |
|-------------|----------------|----------------------|--------------------|
| Honors      | 45             | 53                   | 86                 |
| Accelerated | 82             | 74                   | 79                 |
|             | 10             | 9                    | 10                 |

### Download Instructions:

Click [Download CSV](#) to download the CSV file of the data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook.

### Analyzing the Data:

Do the data suggest that sixth grade math enrollment and SAT college readiness are related? Use a 5% level of significance.

### Steps to Follow:

a. **Calculate the p-value (Rounded to 4 or more decimal places):**
   - [Excel Input Box]

b. **Write a conclusion in context:**

   - It is plausible that a student's sixth grade math course and SAT college readiness designation are independent.
   - A student's sixth grade math course and SAT college readiness designation are **NOT independent** [✓]

c. **If the two variables were independent, what is the expected number of students who entered sixth grade in an honors math class and who obtained college ready designation based on the SAT?**
   - (Rounded to 2 decimal places)
   - [Excel Input Box]

d. **What is the contribution to the chi-squared test statistic for this cell (from part (c))?**
   - (Rounded to 2 decimal places)
   - [Excel Input Box]

#### Note:

- Ensure to input the values correctly in Excel for accurate calculations.
- If you have questions, refer to the provided video or
Transcribed Image Text:## Effects of Sixth Grade Math Enrollment on Future SAT Outcomes ### Instructions for Excel Users: You can download the table in Excel format as instructed below. Then, compute the expected cell counts and use the `=CHISQ.TEST()` function in Excel. *If needed, watch the video at the bottom of this page. You may skip the first 4 minutes of the video.* ### Research Overview: A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that each student enrolls in upon entering the sixth grade and uses SAT data for the same group of students, grouping them by college readiness. The data is displayed below. #### Data Table: | Grade-level | College Ready | Likely College Ready | Not College Ready | |-------------|----------------|----------------------|--------------------| | Honors | 45 | 53 | 86 | | Accelerated | 82 | 74 | 79 | | | 10 | 9 | 10 | ### Download Instructions: Click [Download CSV](#) to download the CSV file of the data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. ### Analyzing the Data: Do the data suggest that sixth grade math enrollment and SAT college readiness are related? Use a 5% level of significance. ### Steps to Follow: a. **Calculate the p-value (Rounded to 4 or more decimal places):** - [Excel Input Box] b. **Write a conclusion in context:** - It is plausible that a student's sixth grade math course and SAT college readiness designation are independent. - A student's sixth grade math course and SAT college readiness designation are **NOT independent** [✓] c. **If the two variables were independent, what is the expected number of students who entered sixth grade in an honors math class and who obtained college ready designation based on the SAT?** - (Rounded to 2 decimal places) - [Excel Input Box] d. **What is the contribution to the chi-squared test statistic for this cell (from part (c))?** - (Rounded to 2 decimal places) - [Excel Input Box] #### Note: - Ensure to input the values correctly in Excel for accurate calculations. - If you have questions, refer to the provided video or
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