The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

Step 1 of 2 :

Suppose a sample of 20042004 tenth graders is drawn. Of the students sampled, 15841584 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.

To solve this problem, we can calculate the proportion of tenth-grade students reading at or below the eighth-grade level using the given data.

### Step-by-Step Solution:

1. **Total sample size**:  
   \( n = 2004 \)

2. **Students reading above the eighth-grade level**:  
   \( 1584 \)

3. **Students reading at or below the eighth-grade level**:  
   \( 2004 - 1584 = 420 \)

4. **Proportion of students reading at or below the eighth-grade level**:  
   \[
   \text{Proportion} = \frac{420}{2004}
   \]

5. **Simplifying**:  
   \[
   \frac{420}{2004} \approx 0.210
   \]

Thus, the estimated proportion is **0.210**.

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Let me know if you'd like more details or if you have any questions!  

Here are some follow-up questions you might consider:  
1. How would the result change with a different sample size?  
2. What is the complement of the calculated proportion?  
3. How can you construct a confidence interval for this proportion?  
4. How does rounding affect the accuracy of the result?  
5. What assumptions are required for this sample to represent the entire population?

**Tip**: Always double-check for rounding errors, especially when dealing with proportions in decimal form.

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

Suppose a sample of 2004 tenth graders is drawn. Of the students sampled, 1584 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Estimate the proportion of 10th grade students reading at or below the 8th grade level using a sample of 2004 students. The problem involves basic arithmetic and proportion calculations. Learn how to calculate the proportion and interpret the results, suitable for students in Grades 9-10.

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