```
tags:
- Mathematics
```

The Chi-Square test (

Chi-Square Statistic (

Notes:

- Chi-Square Test doesn't reveal the direction of the relationship (positive or negative) and can be unreliable with small sample sizes or sparse data in categories.

Relate Concepts:

- Hypothesis Testing including Alternate Hypothesis and Null Hypothesis
**Expected Frequencies:**Calculated based on the assumption of no association between the variables ( ).**Degrees of Freedom (df):**Reflects the number of independent comparisons being made in the analysis. It influences the critical value used for decision-making.- p-Value: Probability of observing a
value this extreme or more extreme, assuming the null hypothesis is true. A low p-value (typically below 0.05) suggests rejecting the null hypothesis and concluding a significant relationship.

Interactive Graph

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