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Standard Error of Proportion Formula

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Standard Error of Proportion is the standard deviation of the sample proportion. It estimates the variability in proportions that could be expected if the study were repeated multiple times. Check FAQs

SEP = \sqrt{\frac{p \cdot (1 - p)}{N (Error)}}

SEP - Standard Error of Proportion?p - Sample Proportion?N_(Error) - Sample Size in Standard Error?

Standard Error of Proportion Example

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Here is how the Standard Error of Proportion equation looks like with Values.

Here is how the Standard Error of Proportion equation looks like with Units.

Here is how the Standard Error of Proportion equation looks like.

0.05 = \sqrt{\frac{0.5 \cdot (1 - 0.5)}{100}}

0.05 = \sqrt{\frac{0.5 \cdot (1 - 0.5)}{100}}

0.05 = \sqrt{\frac{0.5 \cdot (1 - 0.5)}{100}}

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Standard Error of Proportion Solution

Follow our step by step solution on how to calculate Standard Error of Proportion?

FIRST Step Consider the formula

SEP = \sqrt{\frac{p \cdot (1 - p)}{N (Error)}}

Next Step Substitute values of Variables

∴

SEP = \sqrt{\frac{0.5 \cdot (1 - 0.5)}{100}}

Next Step Prepare to Evaluate

∴

SEP = \sqrt{\frac{0.5 \cdot (1 - 0.5)}{100}}

LAST Step Evaluate

∴

SEP = 0.05

Standard Error of Proportion Formula Elements

Variables

Functions

Standard Error of Proportion

Standard Error of Proportion is the standard deviation of the sample proportion. It estimates the variability in proportions that could be expected if the study were repeated multiple times.

Symbol: SEP

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Error of Proportion

Sample Proportion

Sample Proportion is the ratio of number of successes in a sample to total size of sample. It provides an estimate of proportion of successes in population from which the sample is drawn.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Proportion

Sample Size in Standard Error

Sample Size in Standard Error is the total number of individuals or items included in a specific sample. It influences the reliability and precision of statistical analyses.

Symbol: N_(Error)

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size in Standard Error

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Errors category

Go Residual Standard Error of Data given Degrees of Freedom

RSE Data = \sqrt{\frac{RSS (Error)}{DF (Error)}}

Go Standard Error of Data given Variance

SE Data = \sqrt{\frac{σ 2 Error}{N (Error)}}

Go Standard Error of Data

SE Data = \frac{σ (Error)}{\sqrt{N (Error)}}

Go Standard Error of Difference of Means

SE μ1-μ2 = \sqrt{(\frac{{σ X}^{2}}{N X(Error)}) + (\frac{{σ Y}^{2}}{N Y(Error)})}

How to Evaluate Standard Error of Proportion?

Standard Error of Proportion evaluator uses Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error) to evaluate the Standard Error of Proportion, Standard Error of Proportion formula is defined as the standard deviation of the sample proportion. It estimates the variability in proportions that could be expected if the study were repeated multiple times. Standard Error of Proportion is denoted by SEP symbol.

How to evaluate Standard Error of Proportion using this online evaluator? To use this online evaluator for Standard Error of Proportion, enter Sample Proportion (p) & Sample Size in Standard Error (N_(Error)) and hit the calculate button.

FAQs on Standard Error of Proportion

What is the formula to find Standard Error of Proportion?

The formula of Standard Error of Proportion is expressed as Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error). Here is an example- 0.129099 = sqrt((0.5*(1-0.5))/100).

How to calculate Standard Error of Proportion?

With Sample Proportion (p) & Sample Size in Standard Error (N_(Error)) we can find Standard Error of Proportion using the formula - Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error). This formula also uses Square Root (sqrt) function(s).

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Standard Error of Proportion Formula

Standard Error of Proportion Example

Standard Error of Proportion Solution

Standard Error of Proportion Formula Elements

Other formulas in Errors category

How to Evaluate Standard Error of Proportion?

FAQs on Standard Error of Proportion

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