Step 2: Collect the Data

The reporter finds that in her random sample of 300 students, 210 respond that they were required to take at least one remedial course.

What is the sample proportion?

p̂ 
  = 


To find the sample proportion, \( \hat{p} \), we use the formula:

\[
\hat{p} = \frac{x}{n}
\]

where:
- \( x \) is the number of students who were required to take at least one remedial course (210 in this case),
- \( n \) is the total sample size (300 students).

Substitute the values:

\[
\hat{p} = \frac{210}{300} = 0.7
\]

So, the sample proportion \( \hat{p} \) is:

\[
\hat{p} = 0.7
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How would you calculate the margin of error for this sample proportion?
2. What would the confidence interval be for this sample proportion at a 95% confidence level?
3. How does increasing the sample size impact the accuracy of the sample proportion?
4. What is the difference between the sample proportion and the population proportion?
5. How can we determine if the sample is representative of the population?

**Tip:** The sample proportion can be used to estimate the population proportion, especially when the sample is random and sufficiently large.

The reporter finds that in her random sample of 300 students, 210 respond that they were required to take at least one remedial course. What is the sample proportion?

Learn how to calculate the sample proportion in a survey of 300 students, where 210 were required to take remedial courses. This example uses the sample proportion formula and introduces statistical concepts. Ideal for high school students exploring statistics.

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