Performing a chi-square test involves several steps:
1. Formulate Hypotheses: - Null Hypothesis (H0): There is no association between the variables. - Alternative Hypothesis (H1): There is an association between the variables.
2. Construct a Contingency Table: This table displays the frequency distribution of the variables.
3. Calculate Expected Frequencies: These are the frequencies expected if there is no association between the variables.
4. Compute the Chi-Square Statistic: This involves summing the squared difference between observed and expected frequencies, divided by the expected frequency for each cell in the table.
5. Determine the Degrees of Freedom: This is calculated as (number of rows - 1) * (number of columns - 1).
6. Compare with the Critical Value: Using the chi-square distribution table, compare the calculated chi-square statistic with the critical value at a given significance level (usually 0.05).
