Perform statistical chi-square tests with professional analysis
Observed Frequencies
Chi-Square Test Results
Statistical analysis of your data with detailed interpretation
Chi-Square Statistic
5.991
χ² calculated value
Degrees of Freedom
1
df = (rows-1) × (cols-1)
Critical Value
3.841
χ² critical at α = 0.05
P-Value
0.014
Probability value
Chi-Square Distribution Graph
Chi-Square Distribution
Critical Value
Test Statistic
Statistical Interpretation
The chi-square statistic (5.991) is greater than the critical value (3.841) at α = 0.05. We reject the null hypothesis. There is a statistically significant association between the variables.