- Achievement 1: Understanding the relationship between two categorical variables using bar charts, frequencies, and percentages
- Achievement 2: Computing and comparing observed and expected values for the groups
- Achievement 3: Calculating the chi-squared statistic for the test of independence
- Achievement 4: Interpreting the chi-squared statistic and making a conclusion about whether or not there is a relationship
- Achievement 5: Using Null Hypothesis Significance Testing to organize statistical testing
- Achievement 6: Using standardized residuals to understand which groups contributed to significant relationships
- Achievement 7: Computing and interpreting effect sizes to understand the strength of a significant chi-squared relationship
- Achievement 8: Understanding the options for failed chi-squared assumptions