In a contingency table, one of the cells has obtained a frequency of 18 and an expected frequency of 12. What will be the contribution of this cell toward the total chi-square value?

Correct option is D

The formula to calculate the chi-square contribution for a cell is:

Thus, the contribution of this cell to the total chi-square value is 3.0.

Information Booster:

1. When to Use Chi-Square Test:

• To test the association between categorical variables.

• To evaluate goodness of fit for a distribution.

2. Interpreting the Result:
   

• A higher chi-square value indicates a greater discrepancy between observed and expected frequencies.

• Degrees of freedom (df) and significance levels (pp-values) are used to determine whether the result is statistically significant.

3. Importance of Expected Frequency:
   

• If the expected frequency is too low (less than 5), the test may not be reliable. This is a common assumption in chi-square tests.