Enter the sample proportion and the sample size into the calculator to determine the standard error of the proportion. This calculator helps in estimating the variability of a proportion estimate of a population.
Standard Error Of Proportion Formula
The following formula is used to calculate the standard error of the proportion.
SE_p = √(p * (1 - p) / n)
Variables:
- SE_p is the standard error of the proportion
- p is the sample proportion
- n is the sample size
To calculate the standard error of the proportion, take the square root of the product of the sample proportion times one minus the sample proportion divided by the sample size.
What is the Standard Error Of Proportion?
The standard error of the proportion measures the dispersion or variability of the proportion estimates from a sample to the true population proportion. It is used to quantify the uncertainty associated with the sample proportion and is a key component in constructing confidence intervals for population proportions.
How to Calculate Standard Error Of Proportion?
The following steps outline how to calculate the Standard Error Of Proportion.
- First, determine the sample proportion (p).
- Next, determine the sample size (n).
- Use the formula SE_p = √(p * (1 – p) / n).
- Finally, calculate the Standard Error Of Proportion (SE_p).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Sample Proportion (p) = 0.5
Sample Size (n) = 100
