i. Define H₀ and H₁
H₀: The data follow the specified distribution
H₁: The data do not follow the specified distribution
ii. Define Level of Significance
α = 0.05
iii. Define Critical Region
Reject H₀ if χ² > 0.00 (the critical value for α = 0.05 and df = 0)
iv. Statistical Formula
χ² = Σ[(O - E)² / E]
Where:
O = Observed frequency
E = Expected frequency
Σ = Sum over all categories
v. Calculations
χ² = Σ[(O - E)² / E]
Total observed = 0.00
| Category |
O |
E |
(O - E)² / E |
| χ² = |
0.00 |
Degrees of freedom (df) = k - 1 = 0 - 1 = 0
vi. Decision
Since χ² (0.00) ≤ critical value (0.00), we fail to reject the null hypothesis.
The test is not statistically significant at α = 0.05 (p = 0.00).
Enter your data and click "Calculate Chi-Square" to see the hypothesis testing results.