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)
Answers
GPT 3.5
To find the margin of error, we can use the formula:
Margin of Error = (1.96 * √((p * (1-p)) / n))
Where:
- 1.96 is the z-score for a 95% confidence level
- p is the proportion of votes received by the current mayor (between 0.48 and 0.52)
- n is the total number of votes
Since the proportion of votes received by the current mayor can vary between 0.48 and 0.52, we can calculate the margin of error for both scenarios:
For p = 0.48:
Margin of Error = (1.96 * √((0.48 * (1-0.48)) / n))
For p = 0.52:
Margin of Error = (1.96 * √((0.52 * (1-0.52)) / n))
Without knowing the exact proportion of votes received by the current mayor or the total number of votes (n), we cannot calculate the exact margin of error.
Margin of Error = (1.96 * √((p * (1-p)) / n))
Where:
- 1.96 is the z-score for a 95% confidence level
- p is the proportion of votes received by the current mayor (between 0.48 and 0.52)
- n is the total number of votes
Since the proportion of votes received by the current mayor can vary between 0.48 and 0.52, we can calculate the margin of error for both scenarios:
For p = 0.48:
Margin of Error = (1.96 * √((0.48 * (1-0.48)) / n))
For p = 0.52:
Margin of Error = (1.96 * √((0.52 * (1-0.52)) / n))
Without knowing the exact proportion of votes received by the current mayor or the total number of votes (n), we cannot calculate the exact margin of error.