## Standard Error of Proportion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size)
σp = sqrt((p*(1-p))/N)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Standard Error of Proportion - Standard Error of Proportion is the standard error of the population with respect to the given population proportion associated with some event under investigation on the given data.
Sample Proportion - Sample Proportion is the ratio of the number of individuals in the sample with a certain characteristic to the sample size or the total number of individuals in the sample.
Sample Size - Sample Size is the total number of individuals present in the given sample under investigation.
STEP 1: Convert Input(s) to Base Unit
Sample Proportion: 0.6 --> No Conversion Required
Sample Size: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σp = sqrt((p*(1-p))/N) --> sqrt((0.6*(1-0.6))/10)
Evaluating ... ...
σp = 0.154919333848297
STEP 3: Convert Result to Output's Unit
0.154919333848297 --> No Conversion Required
0.154919333848297 <-- Standard Error of Proportion
(Calculation completed in 00.000 seconds)
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## < 7 Errors Calculators

Standard Error of Difference of Means
Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X)+((Standard Deviation of Sample Y^2)/Size of Sample Y))
Standard Error of Data given Mean
Standard Error of Data = sqrt((Sum of Squares of Individual Values/(Sample Size^2))-((Mean of Data^2)/Sample Size))
Standard Error of Proportion
Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size)
Residual Standard Error of Data given Degrees of Freedom
Residual Standard Error of Data = sqrt(Residual Sum of Squares/Degrees of Freedom)
Residual Standard Error of Data
Residual Standard Error of Data = sqrt(Residual Sum of Squares/(Sample Size-1))
Standard Error of Data
Standard Error of Data = Standard Deviation of Data/sqrt(Sample Size)
Standard Error of Data given Variance
Standard Error of Data = sqrt(Variance of Data/Sample Size)

## Standard Error of Proportion Formula

Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size)
σp = sqrt((p*(1-p))/N)

## What is Standard Error and it's importance?

In Statistics and data analysis standard error has great importance. The term "standard error" is used to refer to the standard deviation of various sample statistics, such as the mean or median. For example, the "standard error of the mean" refers to the standard deviation of the distribution of sample means taken from a population. The smaller the standard error, the more representative the sample will be of the overall population.
The relationship between the standard error and the standard deviation is such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size. The standard error is also inversely proportional to the sample size; the larger the sample size, the smaller the standard error because the statistic will approach the actual value.

## How to Calculate Standard Error of Proportion?

Standard Error of Proportion calculator uses Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size) to calculate the Standard Error of Proportion, Standard Error of Proportion formula is defined as the standard error of the population with respect to the given population proportion associated with some event under investigation on the given data. Standard Error of Proportion is denoted by σp symbol.

How to calculate Standard Error of Proportion using this online calculator? To use this online calculator for Standard Error of Proportion, enter Sample Proportion (p) & Sample Size (N) and hit the calculate button. Here is how the Standard Error of Proportion calculation can be explained with given input values -> 0.154919 = sqrt((0.6*(1-0.6))/10).

### FAQ

What is Standard Error of Proportion?
Standard Error of Proportion formula is defined as the standard error of the population with respect to the given population proportion associated with some event under investigation on the given data and is represented as σp = sqrt((p*(1-p))/N) or Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size). Sample Proportion is the ratio of the number of individuals in the sample with a certain characteristic to the sample size or the total number of individuals in the sample & Sample Size is the total number of individuals present in the given sample under investigation.
How to calculate Standard Error of Proportion?
Standard Error of Proportion formula is defined as the standard error of the population with respect to the given population proportion associated with some event under investigation on the given data is calculated using Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size). To calculate Standard Error of Proportion, you need Sample Proportion (p) & Sample Size (N). With our tool, you need to enter the respective value for Sample Proportion & Sample Size and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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