Find the confidence level and α for an 85% confidence interval 

The **confidence level** is given as 85%, which means there is an 85% probability that the true parameter lies within the confidence interval.

The significance level, denoted by \(\alpha\), is the complement of the confidence level. This is calculated as:

\[
\alpha = 1 - \text{Confidence Level}
\]

For an 85% confidence interval, the calculation is:

\[
\alpha = 1 - 0.85 = 0.15
\]

Thus, the **confidence level** is 85%, and the corresponding **\(\alpha\)** (significance level) is **0.15**.

### Would you like to explore further details or ask any questions?

Here are 5 related questions that expand on this concept:
1. How does the confidence level affect the width of the confidence interval?
2. What is the relationship between \(\alpha\) and the critical value in hypothesis testing?
3. How would you calculate the margin of error for a given confidence level?
4. What happens if you increase the sample size in relation to the confidence interval?
5. What are the assumptions behind constructing a confidence interval?

#### Tip:
Higher confidence levels correspond to wider confidence intervals, as they capture a greater range of possible values for the true parameter.

Find the confidence level and α for an 85% confidence interval.

Learn how to determine the confidence level and the significance level (α) for an 85% confidence interval. This problem involves statistical concepts like confidence intervals and the complement rule for significance levels. Suitable for high school and college students studying statistics.

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