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a percentage it is z*·√(p(1 − p) / n), where p is the sample proportion, n the sample size and z* the critical value for your confidence level (1.96 for 95%). The default 50% proportion gives the most conservative (largest) margin, because the quantity p(1 − p) peaks at p = 0.5, which is why pollsters often quote it. To halve that margin, you would need roughly four times the sample. The default 50% proportion gives the most conservative margin, because the quantity p(1 − p) peaks at p = 0.5, which is why pollsters often quote it. The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error, and the margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error.The margin of error is aWorked-Worked example:The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error.Worked-Worked example:The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error.Worked-Worked example:The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error.The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 0.0158.It reports the margin of error.Worked-Worked example:The margin of error is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈