When 325 college students were​ surveyed, 155 said they own their car. Find a point estimate for​ p, the population proportion of students who own their cars.
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Part 1
A.0.523

B.0.323

C.0.912

D.0.477

To find a point estimate for \( p \), the population proportion of students who own their cars, you can use the formula:

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

where:
- \( \hat{p} \) is the point estimate for the population proportion.
- \( x \) is the number of students who said they own their car.
- \( n \) is the total number of students surveyed.

Given:
- \( x = 155 \)
- \( n = 325 \)

Substitute the values into the formula:

\[
\hat{p} = \frac{155}{325} \approx 0.477
\]

So, the point estimate for \( p \) is **0.477**.

The correct answer is **D. 0.477**.

Would you like more details or have any other questions?

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Here are 8 related questions for further practice:

1. How would the point estimate change if 200 students said they owned their car?
2. What is the complement of the point estimate for this scenario?
3. How would you calculate the margin of error for this estimate?
4. What sample size is needed to estimate the population proportion with a margin of error of 0.05?
5. How would you interpret the point estimate in the context of the population?
6. If another survey showed that 60% of students owned cars, how would this compare to your estimate?
7. What factors could affect the accuracy of this point estimate?
8. How does the confidence level affect the interval estimate around this point estimate?

**Tip:** When estimating population proportions, increasing the sample size can provide a more accurate point estimate and reduce the margin of error.

Learn how to calculate the point estimate for the population proportion of college students who own cars based on survey data. This problem involves applying the point estimate formula, where 155 out of 325 students surveyed own their cars, yielding an estimate of approximately 0.477. Suitable for high school students studying statistics.

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