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Chapter 4 · Sampling · Slide 143/274

z-Values and Maximum Margin of Error

With z = 1.96 and the maximum π = 0.5 the formula simplifies to:

4.4 · Sample Size Margin of Error Approach

z-Values and Maximum Margin of Error


z-Values
1.96 for 95 % confidence level
2.58 for 99 % confidence level
Maximum Margin of Error for 95% Confidence Level

With z = 1.96 and the maximum π = 0.5 the formula simplifies to:

E = z · √(π(1−π)/n) = 1.96 · √(0.5(1−0.5)/n) ≈ 1/√n

… the upper bound of the error — independent of the actual proportion π.

QUESTIONSTAR · Dr. Paul Marx 143 / 274
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