Survey Margin Achieved From Sample
Calculator

Inputs

Margin of error (%)
4.9

Results

Margin of error (%)
4.9
Lower confidence bound (%)
45.1
Upper confidence bound (%)
54.9

Academic results

Margin of error (%)4.9
Lower confidence bound (%)45.1
Upper confidence bound (%)54.9

formula-map diagram

Margin of error (%)
4.9
Lower confidence bound (%)
45.1
Upper confidence bound (%)
54.9

Formula breakdown

Formula

E = z × √(p × (1 − p) ÷ n), z = 1.96 (95%)

= 4.9

Note

This is a simplified model. Grading rules, credit systems and statistical assumptions vary by institution and study design; check your syllabus, registrar or methods guide before relying on these figures.

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