Chi-Square distribution

The graph above shows examples of chi-square distributions with different values of k(shape of a chi-square distribution).

They’re widely used in hypothesis tests, including the chi-square goodness of fit test and the chi-square test of independence.

In hypothesis testing, steps

1. Ho or H1 
2. significance value  α =0.05
3. Degree of freedom = n-1 ; n is number of categorical variables
4. Decision Boundary - Cheak chi-square table
5. calculate test statistics 

       Χ^2 =  Σ (f o - f e) ^2 / f e 

              f e=expected outcome

              f o=observed outcome

 6 . P