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) The margin of error is
Answers
GPT-4o mini
To find the margin of error (MOE) in this case, we can use the given percentages of votes received by the current mayor. The estimate of the percentage of votes is between 48% and 52%.
The margin of error can be calculated as follows:
1. Determine the midpoint (the estimate of the true percentage of votes):
\[
\text{Midpoint} = \frac{48\% + 52\%}{2} = \frac{100\%}{2} = 50\%
\]
2. Calculate the margin of error by finding the difference between the midpoint and either endpoint:
\[
\text{Margin of Error} = \text{Upper Limit} - \text{Midpoint} = 52\% - 50\% = 2\%
\]
or
\[
\text{Margin of Error} = \text{Midpoint} - \text{Lower Limit} = 50\% - 48\% = 2\%
\]
Therefore, the margin of error is **2%**.
The margin of error can be calculated as follows:
1. Determine the midpoint (the estimate of the true percentage of votes):
\[
\text{Midpoint} = \frac{48\% + 52\%}{2} = \frac{100\%}{2} = 50\%
\]
2. Calculate the margin of error by finding the difference between the midpoint and either endpoint:
\[
\text{Margin of Error} = \text{Upper Limit} - \text{Midpoint} = 52\% - 50\% = 2\%
\]
or
\[
\text{Margin of Error} = \text{Midpoint} - \text{Lower Limit} = 50\% - 48\% = 2\%
\]
Therefore, the margin of error is **2%**.