Calculator
Chi-Square Test Calculator
Run chi-square goodness-of-fit and independence tests. Get χ² statistic, p-value, and plain-English conclusions.
Results
χ² Statistic
14.0014
Degrees of Freedom
2
p-value
0.0009
Critical Value (α = 0.05)
5.9915
→ Reject H₀
Critical Value (α = 0.01)
9.2103
→ Reject H₀
❌ Reject H₀ at α = 0.05
The observed frequencies differ significantly from the expected frequencies. The data does not fit the expected distribution.
Cell Contributions to χ²
Cell 1: 5.3312Cell 2: 0.3327Cell 3: 8.3375