Conditions for applying the chi-square (χ²) test:

• These conditions are necessary to ensure the validity of the chi-square test:
-Total sample size ≥ 50: This ensures that the chi-square distribution is a good approximation of the sampling distribution.
-Expected frequency of each and every class should not be less than 5: This condition is important for the accuracy of the chi-square test statistic. If any expected frequency is too small, the chi-square approximation may not be reliable.
-The sample observations should be independent: This means that the occurrence of one observation should not influence the occurrence of another. This condition is crucial for the validity of the chi-square test.