Technology survey in a survey of 504 people in the united states, about 11% said that the influx of new technologies such as computers has left them feeling overwhelmed. What is the margin of error for the survey? Round your answer to the nearest tenth of a percent 

To calculate the margin of error for a survey, we use the formula:

\[
\text{Margin of Error (MoE)} = z \cdot \sqrt{\frac{p(1 - p)}{n}}
\]

Where:
- \( z \) is the z-score corresponding to the confidence level (typically 1.96 for a 95% confidence level).
- \( p \) is the sample proportion, which is 0.11 (11% in this case).
- \( n \) is the sample size, which is 504.

Let's calculate it:

\[
\text{MoE} = 1.96 \cdot \sqrt{\frac{0.11 \cdot (1 - 0.11)}{504}}
\]

Now, I'll compute the value.The margin of error for the survey is approximately **2.7%**.

Do you want more details or have any questions?

Here are some related questions:
1. How does increasing the sample size affect the margin of error?
2. What happens to the margin of error if the confidence level is changed from 95% to 99%?
3. Can the margin of error be reduced without increasing the sample size? If so, how?
4. How would the margin of error change if a different proportion (e.g., 15%) was used?
5. What is the significance of the margin of error in interpreting survey results?

**Tip**: Larger sample sizes reduce the margin of error, making survey results more reliable.

In a survey of 504 people in the United States, about 11% said that the influx of new technologies such as computers has left them feeling overwhelmed. What is the margin of error for the survey? Round your answer to the nearest tenth of a percent.

Learn how to calculate the margin of error for a survey of 504 people in the United States, where 11% reported feeling overwhelmed by new technologies. This guide explains the key statistical concepts and formula for calculating the margin of error, suitable for advanced high school or college students.

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