Standard Error

Population SD (σ) :

Population Dateset

Population SD (σ) :

Sample size (n1) :

Population Dateset 1

Sample size (n1) :

Standard Error :

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# 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.