StatisticsChi-Square Tests

Chi-Square Goodness-of-Fit Test

Test whether observed category frequencies match a set of expected frequencies or probabilities. Enter observed counts and expected proportions (must sum to 1) or raw expected counts.

Live Calculator · χ² Test · Statistics
Inputs
If expected values sum to 1, they are treated as probabilities and multiplied by n. Otherwise treated as raw counts.
Results
χ² Statistic
P-Value
Degrees of Freedom
Critical Value χ²*
Decision
Step-by-Step
Observed vs Expected Counts & Chi-Square Distribution

Struggling with chi-square tests?

One-on-one Statistics tutoring makes goodness-of-fit and chi-square distributions clear.

Book a Free Consultation →