The mean was found to be 23% and the confidence interval was (19.7%,26.3%) therefore the margin of error was +/- _____%.

The margin of error (ME) can be found by calculating the difference between the mean and one of the bounds of the confidence interval.

Given:
- Mean = 23%
- Confidence Interval = (19.7%, 26.3%)

The margin of error is calculated as:

\[
\text{Margin of Error} = \text{Upper Bound} - \text{Mean} \text{ or } \text{Mean} - \text{Lower Bound}
\]

Let's calculate:

\[
\text{Margin of Error} = 23\% - 19.7\% = 3.3\%
\]

Or:

\[
\text{Margin of Error} = 26.3\% - 23\% = 3.3\%
\]

Thus, the margin of error is **±3.3%**.

Would you like more details, or do you have any questions?

Here are 5 related questions you might consider:
1. How is the confidence interval interpreted in terms of population parameters?
2. What is the significance of a 95% confidence level in confidence intervals?
3. How do sample size and variability affect the margin of error?
4. How can you decrease the margin of error in a study?
5. What is the difference between a one-sided and a two-sided confidence interval?

**Tip:** The margin of error decreases as the sample size increases, which is why larger studies tend to produce more precise estimates.

Learn how to calculate the margin of error using a given mean of 23% and a confidence interval of (19.7%, 26.3%). This statistical problem covers key concepts in confidence intervals and margin of error calculations, suitable for high school students in Grades 10-12.

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