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 the point estimate for \( p \), the population proportion of students who own their cars, we use the formula:

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

Where:
- \( x \) is the number of students who said they own their car (155),
- \( n \) is the total number of students surveyed (325).

Substituting the values:

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

So, the correct point estimate for \( p \) is:

**D. 0.477**

Would you like more details on how this is calculated or any further explanation?

Here are some related questions you might find useful:

1. What is the interpretation of the point estimate \( \hat{p} \)?
2. How can we calculate a confidence interval for \( p \)?
3. What is the margin of error associated with this estimate?
4. How does the sample size affect the accuracy of the point estimate?
5. Can we use this point estimate for hypothesis testing?
6. How would the point estimate change if the number of car owners were different?
7. What is the standard error of the proportion in this case?
8. How can we determine if this point estimate is reliable?

**Tip:** The larger the sample size, the more reliable your point estimate will be, reducing the margin of error.

Learn how to calculate a point estimate for the population proportion of students who own their cars from survey data. Detailed step-by-step solution using the sample proportion formula. Suitable for high school students studying statistics and probability.

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