The formula to calculate the Standard Error of Proportion (SE_p) is:
\[ SE_p = \sqrt{\frac{p \times (1 - p)}{n}} \]
Where:
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.
Let's assume the following values:
Using the formula to calculate the Standard Error of Proportion (SE_p):
\[ SE_p = \sqrt{\frac{p \times (1 - p)}{n}} = \sqrt{\frac{0.5 \times (1 - 0.5)}{100}} = 0.05 \]
The Standard Error of Proportion (SE_p) is 0.05.
