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Confidence Interval of a Proportion Calculator

Enter N Enter n Enter Confidence Interval %
 

How does the Confidence Interval of a Proportion Calculator work?

Given N, n, and a confidence percentage, this will calculate the estimation of confidence interval for the population proportion π including the margin of error. confidence interval of the population proportion
This calculator has 3 inputs.

What 3 formulas are used for the Confidence Interval of a Proportion Calculator?

  1. p^ = n/N
  2. α = 1 - Confidence%
  3. p^ - zscoreα * σp/√ p < p < p^ + zscoreα * σp/√p

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Confidence Interval of a Proportion Calculator?

confidence interval
a range of values so defined that there is a specified probability that the value of a parameter lies within it.
confidence interval of a proportion
the probability that a population parameter will fall between a set of values for a certain proportion of times.
margin of error
a statistic expressing the amount of random sampling error in the results of a survey.
σp + z-score
population
all the inhabitants of a particular town, area, or country.
proportion
n equation in which two ratios are set equal to each other
a/b = c/d

Example calculations for the Confidence Interval of a Proportion Calculator

  1. In a random sample of 150 persons having their lunch at the University cafeteria it was observed that 30 people preferred vegetable dishes. Find a 95% confidence interval for the proportion who liked vegetables.



Confidence Interval of a Proportion Calculator Video