A study of 1907 fatal traffic accidents found 499 of them were alcohol related.
(a) Find the best point estimate of the proportion of all accidents that are alcohol related. Round your 
answer to 4 decimal places.

To find the best point estimate of the proportion of all accidents that are alcohol-related, we use the formula for a sample proportion:

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

where:
- \( x \) is the number of alcohol-related accidents,
- \( n \) is the total number of accidents.

Given:
- \( x = 499 \)
- \( n = 1907 \)

### Step-by-Step Solution
\[
\hat{p} = \frac{499}{1907} \approx 0.2616
\]

So, the best point estimate of the proportion of all accidents that are alcohol related is:

\[
\hat{p} \approx 0.2616
\]

### Answer:
The point estimate is **0.2616**.

Would you like details on confidence intervals or assumptions used here?

---

1. How can we calculate a confidence interval for this proportion?
2. Why is the sample proportion used as the point estimate?
3. What sample size would improve the accuracy of this estimate?
4. What is the interpretation of this proportion in real-life terms?
5. How can we determine if this proportion is statistically significant?

**Tip:** When calculating proportions, always ensure to double-check rounding especially if accuracy is required to multiple decimal places.

A study of 1907 fatal traffic accidents found 499 of them were alcohol related. (a) Find the best point estimate of the proportion of all accidents that are alcohol related. Round your answer to 4 decimal places.

Explore how to find the best point estimate of the proportion of alcohol-related fatal traffic accidents using a real-world example with 1907 accidents, 499 of which were alcohol related. This step-by-step solution covers statistical concepts, such as proportions and point estimates, suitable for Grades 10-12 students.

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