Question

Use the table to answer the question.
Completed Rough Draft
(%)
Did Not Complete Rough
Draft (%)
Earned an A on the Final Essay 72 4
Earned less than an A on the
Final Essay
28 96
Total 100 100
An eighth-grade language arts teacher gave his class an assignment to write a rough draft before
they write and complete the final essay. The table displays the conditional relative frequency data
on whether a student completed the rough draft and whether the student earned an A on the final
essay. Which statement is correct?
Option #1: There is no association between completing a rough draft and earning an A on the final
essay.
Option #2: There is an association between completing a rough draft and earning an A on the final essay.

Answer 1

To determine if there is an association between completing a rough draft and earning an A on the final essay, we can look at the percentages provided in the table.

From the table:

- **Completed Rough Draft:**
- Earned an A on the Final Essay: 72%
- Did Not Earn an A on the Final Essay: 28%

- **Did Not Complete Rough Draft:**
- Earned an A on the Final Essay: 4%
- Did Not Earn an A on the Final Essay: 96%

To analyze the association, we can compare the proportions of students who earned an A on the final essay based on whether they completed the rough draft or not:

- The percentage of students who earned an A on the final essay who completed the rough draft is **72%**.
- The percentage of students who earned an A on the final essay who did not complete the rough draft is **4%**.

Since there is a significant difference in the percentages (72% compared to 4%), it suggests that completing a rough draft is positively associated with earning an A on the final essay.

Therefore, the correct statement is:

**Option #2: There is an association between completing a rough draft and earning an A on the final essay.**