Confidence Interval Calculator for Proportions

The sample confidence interval proportion is a binomial proportion in a statistical population. Binomial confidence interval calculation rely on the assumption of binomial distribution. For example, a binomial distribution is the set of various possible outcomes and probabilities, for the number of heads observed when a coin is flipped ten times. This confidence interval calculator for proportions helps to find the sample confidence interval for proportion.

Sample Confidence Interval for Proportion Calculator

%

The sample confidence interval proportion is a binomial proportion in a statistical population. Binomial confidence interval calculation rely on the assumption of binomial distribution. For example, a binomial distribution is the set of various possible outcomes and probabilities, for the number of heads observed when a coin is flipped ten times. This confidence interval calculator for proportions helps to find the sample confidence interval for proportion.

Code to add this calci to your website Expand embed code Minimize embed code

Formula:

Proportion = Frequency of Sample Size/Sample Size s = √((Proportion x (1-Proportion))/Sample Size) α = (1-(Confidence Level/100))/2 Margin of Error = s x z Upper Limit = Proportion + Margin of Error Lower Limit = Proportion - Margin of Error Where, z = Z Score of 'α'

Example:

A sample of size 12 and frequency 10 with confidence interval of 95 %

Sample Confidence Interval for Proportion:

Proportion = 10/12
= 0.8333

s = √((0.8333 x (1- 0.8333)) / 12
= 0.107583

α = (1- (95/100))/2
= 0.025

z - score of 'α (0.025)' is 1.96

Margin of Error = s x z
= 0.107583 x 1.96
= 0.2109

Upper Limit = Proportion + Margin of Error
= 0.8333 + 0.2109
= 1.0442

Lower Limit = Proportion - Margin of Error
= 0.8333 - 0.2109
= 0.6225

Related Calculators:


english Calculators and Converters

Top Calculators


Sitemap