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Sample Size from MOE = 9%, p = 0.25 & 90% Confidence Level

Sample Size Calculator

Example problem workout with steps & calculation summary from MOE = 9%, population proportion p = 0.25 & 90% confidence level to find the effective sample size for statistical survey or experiment.

Calculation Summary
Margi of Error9%
Population Proportion (p)0.25
confidence interval90%
Sample Size (n)63

Work with Steps for MOE = 9%, p = 0.25 & 90% confidence

Users may refer the below example workout with steps for significant or effective sample size estimation from margin of error = 9, population proportion = 0.25 & rejected region or critical value from the Z-table for 90% confidence level = 1.645.

Workout :
step 1 Address the formula input parameters and values
margin of error = 9%
MOE = 9/100 = 0.09
population proportion (p) = 0.25
Z-value for 90% confidence level = 1.645

step 2 Substitute MOE, p & Z-value in the below Sample size formula
n = [z /MOE]2 p x (1-p)
n = [1.645 / 0.09]2 x 0.25 x (1 - 0.25)

step 3 Simplify the Above expression
= [1.645 / 0.09]2 x 0.25 x 0.75
= (18.2778)2 x 0.25 x 0.75
= 334.0772 x 0.25 x 0.75
= 63

63 is the sample size estimated from MOE = 9%, p = 0.25 & 90% confidence

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