Chi-Square Goodness of Fit Test

Instructions:

Enter your data in the textbox below using the following format:

First line: Comma-separated observed values (e.g., "30, 45, 25")
Second line: Comma-separated expected proportions (e.g., "0.2, 0.3, 0.5")
Third line: Significance level (e.g., "0.05")

Example input:

30, 45, 25
0.2, 0.3, 0.5
0.05

Input Data

Results

Hypothesis Testing Steps

i. Define H₀ and H₁

ii. Define Level of Significance

iii. Define Critical Region

iv. Statistical Formula

χ² = Σ[(O - E)² / E]

Where:
O = Observed frequency
E = Expected frequency
Σ = Sum over all categories

v. Calculations

vi. Decision

Visualization