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 798
 tenth graders is drawn. Of the students sampled, 663
 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 estimate the proportion of tenth graders who have reading skills at or below the eighth grade level, we can start by calculating the number of students who read at or below that level.

### Step 1: Determine the number of students reading at or below the eighth grade level.
- Total number of students in the sample = 798
- Number of students reading **above** the eighth grade level = 663
- Therefore, the number of students reading **at or below** the eighth grade level is:

\[
798 - 663 = 135
\]

### Step 2: Calculate the proportion of students reading at or below the eighth grade level.
The proportion is given by:

\[
\text{Proportion} = \frac{\text{Number of students reading at or below the eighth grade level}}{\text{Total number of students}} = \frac{135}{798}
\]

Now, let's calculate this value as a decimal:

\[
\frac{135}{798} \approx 0.169
\]

### Final Answer:
The estimated proportion of tenth graders reading at or below the eighth grade level is **0.169** (rounded to three decimal places).

Would you like more details on how to interpret this result or any other questions?

Here are 5 relative questions:
1. How would you calculate the proportion if the number of students changes?
2. Why is it important to estimate the proportion in a sample?
3. What could affect the accuracy of this proportion in the population?
4. Can you explain how rounding might impact real-world estimations?
5. What sampling methods ensure a representative group of students?

**Tip:** Always check if rounding instructions are provided in questions and follow them precisely to avoid losing marks!

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 798 tenth graders is drawn. Of the students sampled, 663 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.

Calculate the proportion of tenth graders reading at or below the eighth grade level from a sample of 798 students, where 663 read above the eighth grade level. Learn how to estimate the proportion, convert fractions to decimals, and round to three decimal places. Suitable for students in Grades 8-10.

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