One sample proportion test

One Sample Proportion Test

Proportion Z-test and Binomial test
Video Two sample proportion calculator

Calcualate h effect size


Target: To check if the difference between the probability of succees (p) of two groups (populations) is significant, using sample data
H0: P = P0
H1: P < > P0
Test statistic
Z statistic
Normal distribution
z distribution left tailed z distribution two tailed z distribution right tailed


Normal DistributionBinomial distribution - the probability for event is identical
difference dP0 the expected population probability
Required Sample Data
pp̂ the sample probabilities or x the number of successes
sample sizen - Sample size

R Code

The following R code should produce the same results:

The prop.test uses the Chi-squared statistic with one degree of freedom, which is exactly as using the Z test: z22(1)