SE of (p1 - p2) for n1 = 50 & n2 = 60

Standard Error (SE) of Mean & Proportion Calculator

Calculation summary & work with steps for sample size n₁ = 50, n₂ = 60, population proportion P₁ = 0.35 & P₂ = 0.45 to estimate the standard error of difference between two sample proportions. The below is the calculation summary for SE of (p₁ - p₂) for sample size n₁ = 50 & n₂ = 60 using the p values P₁ = 0.35 & P₂ = 0.45.

Calculation Summary
Population proportion (P₁)	0.35
Population proportion (P₂)	0.45
Sample size (n₁)	50
Sample size (n₂)	60
SE of (p₁ - p₂)	0.0933

SE of (p₁ - p₂) Work with Steps for n₁ = 50 & n₂ = 60

The below is the example work with step by step calculation shows how to estimate the standard error of difference between two sample proportions for sample size n₁ = 50 & n₂ = 60 and the population proportions P₁ = 0.35 & P₂ = 0.45 to help grade school students to solve the similar SE of (p₁ - p₂) worksheet problems efficiently.

Workout :
step 1 Address the formula, input parameters and values
Input parameters & values
Population Proportion P1 = 0.35
Population Proportion P2 = 0.45
Sample Size n₁ = 50
Sample Size n₂ = 60

Formula

SE_(p₁-p₂) = √

P1Q1/n1+P2Q2/n2

step 2 Find Q from P Values
Q₁ = 1 - P₁ = 1 - 0.35
Q₁ = 0.65
Q₂ = 1 - P₂ = 1 - 0.45
Q₂ = 0.55

step 3 Apply the values in below formula

= √

(0.35 x 0.65)/50+(0.45 x 0.55)/60

= √

0.2275/50+0.2475/60

step 4 Simplify the above equation

= √0.0046 + 0.0041
= √0.0087
= 0.0933

0.0933 is the standard error for difference between two sample proprotions.

Standard Error (SE) of Mean & Proportion Calculator

SE of (p1 - p2) Work with Steps for n1 = 50 & n2 = 60

SE of (p₁ - p₂) Work with Steps for n₁ = 50 & n₂ = 60