The mean was found to be 38% and the confidence interval was (34.2%,41.8%) therefore the margin of error was +/- _____%.

The margin of error (ME) is calculated as half the width of the confidence interval. To find the margin of error, you subtract the lower bound of the interval from the upper bound and divide by 2.

Given:
- Confidence interval: (34.2%, 41.8%)

Margin of Error Calculation:

\[
\text{Margin of Error} = \frac{41.8\% - 34.2\%}{2} 
\]

Let's calculate this: 

\[
\text{Margin of Error} = \frac{7.6\%}{2} = 3.8\%
\]

Therefore, the margin of error is **±3.8%**.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you interpret a confidence interval in the context of survey results?
2. What does a larger margin of error indicate about a survey or experiment?
3. How can you decrease the margin of error in a statistical study?
4. How does sample size affect the confidence interval and margin of error?
5. What is the significance level, and how does it relate to confidence intervals?

**Tip:** A smaller margin of error suggests more precise estimates, often achieved with larger sample sizes or reduced variability in data.

Learn how to calculate the margin of error from a confidence interval in statistics. Given a confidence interval of (34.2%, 41.8%), the margin of error is calculated step by step using the formula. Suitable for students in Grades 9-12.

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