Question
In a recent election, the current mayor received between 48% and 52% of votes with 95% confidence. Find the margin of error. (1 point) 0.02 0.25 0.04
Answers
GPT-4o mini
To find the margin of error in this election scenario, we can use the information given about the percentage of votes received by the current mayor.
The mayor received between 48% and 52% of the votes. This gives us a range for the percentage:
- Lower limit: 48%
- Upper limit: 52%
To calculate the margin of error, we can use the formula:
\[
\text{Margin of Error} = \frac{\text{Upper limit} - \text{Lower limit}}{2}
\]
Using the values we have:
\[
\text{Margin of Error} = \frac{52\% - 48\%}{2} = \frac{4\%}{2} = 2\%
\]
Since 2% can be expressed as a decimal, it is equivalent to 0.02 in decimal form.
Thus, the margin of error is **0.02**.
The mayor received between 48% and 52% of the votes. This gives us a range for the percentage:
- Lower limit: 48%
- Upper limit: 52%
To calculate the margin of error, we can use the formula:
\[
\text{Margin of Error} = \frac{\text{Upper limit} - \text{Lower limit}}{2}
\]
Using the values we have:
\[
\text{Margin of Error} = \frac{52\% - 48\%}{2} = \frac{4\%}{2} = 2\%
\]
Since 2% can be expressed as a decimal, it is equivalent to 0.02 in decimal form.
Thus, the margin of error is **0.02**.