 # Difference of Proportions Test Calculator

Enter x1 Enter n1 Enter x2 Enter n2 Enter Confidence Interval % (1 - α)

### How does the Difference of Proportions Test Calculator work?

Calculates a test statistic and conclusion for a hypothesis for the difference of proportions
This calculator has 5 inputs.

### What 5 formulas are used for the Difference of Proportions Test Calculator?

1. p^1 = x1/n1
2. p^2 = x2/n2
3. q^1 = 1 - p^1
4. q^2 = 1 - p^2
5. (p^1 - p^2) - zα/2*I < p1 - p2 < (p^1 - p^2) + zα/2*I

For more math formulas, check out our Formula Dossier

### What 7 concepts are covered in the Difference of Proportions Test Calculator?

alternative hypothesis
opposite of null hypothesis. One of the proposed proposition in the hypothesis test.
H1
confidence interval
a range of values so defined that there is a specified probability that the value of a parameter lies within it.
difference of proportions test
hypothesis
statistical test using a statement of a possible explanation for some conclusions
null hypothesis
in a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
H0
proportion
n equation in which two ratios are set equal to each other
a/b = c/d
test statistic
a number calculated by a statistical test