Use sample data to estimate population means/proportions and develop margins of error using simulation.
Write an interval estimate for a population proportion from a sample proportion and margin of error
Problem
What interval does this margin of error suggest for the population proportion: \(54~\text{percent}\) with margin of error \(3~\text{percentage}~\text{points}\)?
Big Picture
What this problem is really about
Center the interval on the sample proportion and move one margin of error in each direction. Treat a margin stated in percentage points as a direct additive distance, then check that proportion endpoints remain within the possible range. The result expresses uncertainty about a population proportion rather than a range of individual responses.
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