A study of 1907 fatal traffic accidents found 499 of them were alcohol related. 88% confidence interval estimate. what is the alpha value

To calculate the alpha value for an 88% confidence interval, we follow these steps:

1. **Confidence Level**: 88%  
   This means we are 88% confident that the true proportion falls within the interval.

2. **Alpha Value Calculation**:  
   The alpha value (\(\alpha\)) represents the total area in the tails of the distribution that is not covered by the confidence interval. It is calculated as:

   \[
   \alpha = 1 - \text{confidence level}
   \]

   Therefore,

   \[
   \alpha = 1 - 0.88 = 0.12
   \]

The alpha value is **0.12**.

Would you like details on constructing the confidence interval, or do you have any other questions?

### Related Questions:
1. How do you find the margin of error for an 88% confidence interval?
2. How does the alpha value affect the width of a confidence interval?
3. What z-score corresponds to an 88% confidence level?
4. How would you interpret a 95% confidence interval instead of an 88% confidence interval?
5. What is the difference between a one-tailed and two-tailed test for confidence intervals?

### Tip:
The smaller the alpha value, the wider the confidence interval, indicating more uncertainty in the estimate.

Learn how to determine the alpha value for an 88% confidence interval based on a study of 1907 fatal traffic accidents, with 499 related to alcohol. This explanation includes the key formula and concept of alpha in confidence intervals, ideal for college-level statistics.

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