Enter the number of successes and the sample size into the calculator to determine the sample proportion. The sample proportion is a statistic that estimates the proportion of a certain outcome in the population based on the sample data.
Sample Proportion Formula
The following formula is used to calculate the sample proportion.
P̂ = X / n
Variables:
- P̂ is the sample proportion
- X is the number of successes in the sample
- n is the sample size
To calculate the sample proportion, divide the number of successes in the sample by the total sample size.
What is a Sample Proportion?
A sample proportion is a statistic that represents the fraction of the sample that has a particular attribute or outcome of interest. It is often used in statistics to estimate the proportion of a characteristic within a larger population. The sample proportion is a key concept in inferential statistics, where it helps to make predictions or inferences about a population based on sample data.
How to Calculate Sample Proportion?
The following steps outline how to calculate the Sample Proportion.
- First, determine the number of successes in the sample (X).
- Next, determine the total sample size (n).
- Next, gather the formula from above = P̂ = X / n.
- Finally, calculate the Sample Proportion (P̂).
- 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.
Number of successes in the sample (X) = 75
Total sample size (n) = 200