1. Formulate Hypotheses: - Null Hypothesis (H0): Assumes that there is no association between the variables. - Alternative Hypothesis (H1): Assumes that there is an association between the variables.
2. Create a Contingency Table: Organize the data into a table that displays the frequency distribution of the variables.
3. Calculate Expected Frequencies: Use the marginal totals of the contingency table to calculate the expected frequencies for each cell.
4. Compute the Chi-Squared Statistic: Apply the chi-squared formula to compare the observed and expected frequencies.
5. Determine the Degrees of Freedom: Calculate the degrees of freedom to help interpret the chi-squared statistic.
6. Compare with Critical Value: Compare the chi-squared statistic with a critical value from the chi-squared distribution table to determine significance.
