Standard Error of Proportion Calculator

✖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.ⓘ Sample Proportion [p]			+10% -10%
✖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.ⓘ Sample Size in Standard Error [N_(Error)]			+10% -10%

✖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.ⓘ Standard Error of Proportion [SEP]

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Formula

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Standard Error of Proportion

Formula

`"SEP" = sqrt(("p"*(1-"p"))/"N"_{"(Error)"})`

Example

`"0.05"=sqrt(("0.5"*(1-"0.5"))/"100")`

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Standard Error of Proportion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error)
SEP = sqrt((p*(1-p))/N_(Error))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Sample Proportion: 0.5 --> No Conversion Required
Sample Size in Standard Error: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SEP = sqrt((p*(1-p))/N_(Error)) --> sqrt((0.5*(1-0.5))/100)

Evaluating ... ...

SEP = 0.05

STEP 3: Convert Result to Output's Unit

0.05 --> No Conversion Required

FINAL ANSWER

0.05 <-- Standard Error of Proportion

(Calculation completed in 00.004 seconds)

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< 7 Errors Calculators

Standard Error of Difference of Means

Go Standard Error of Difference of Means = sqrt(((Standard Deviation of Sample X^2)/Size of Sample X in Standard Error)+((Standard Deviation of Sample Y^2)/Size of Sample Y in Standard Error))

Standard Error of Data given Mean

Go Standard Error of Data = sqrt((Sum of Squares of Individual Values/(Sample Size in Standard Error^2))-((Mean of Data^2)/Sample Size in Standard Error))

Standard Error of Proportion

Go Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error)

Residual Standard Error of Data given Degrees of Freedom

Go Residual Standard Error of Data = sqrt(Residual Sum of Squares in Standard Error/Degrees of Freedom in Standard Error)

Residual Standard Error of Data

Go Residual Standard Error of Data = sqrt(Residual Sum of Squares in Standard Error/(Sample Size in Standard Error-1))

Standard Error of Data given Variance

Go Standard Error of Data = sqrt(Variance of Data in Standard Error/Sample Size in Standard Error)

Standard Error of Data

Go Standard Error of Data = Standard Deviation of Data/sqrt(Sample Size in Standard Error)

Standard Error of Proportion Formula

Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error)
SEP = sqrt((p*(1-p))/N_(Error))

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 in Standard Error) to calculate 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 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 in Standard Error (N_(Error)) and hit the calculate button. Here is how the Standard Error of Proportion calculation can be explained with given input values -> 0.129099 = sqrt((0.5*(1-0.5))/100).

FAQ

What is 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 and is represented as SEP = sqrt((p*(1-p))/N_(Error)) or Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error). 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 & 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.

How to calculate 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 is calculated using Standard Error of Proportion = sqrt((Sample Proportion*(1-Sample Proportion))/Sample Size in Standard Error). To calculate Standard Error of Proportion, you need Sample Proportion (p) & Sample Size in Standard Error (N_(Error)). With our tool, you need to enter the respective value for Sample Proportion & Sample Size in Standard Error 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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