- Students will be able to interpret whether values represented in a two-way table represent independent events by using conditional probabilities.
- Students will be able to derive a chi-square for two categorical variables from a single population.
- Students will be able to determine if a chi-square indicates an association between two categorical variables.
- conditional probability
About the Lesson
This lesson involves deriving and interpreting the chi-square as an indication of whether two variables in a population are independent or associated.
As a result, students will:
- Derive the chi-square based on observed values from a two-way table.
- Analyze chi-squares calculated from samples drawn from a population in which the categorical variables are independent, and observe the distribution of such chi-squares.
- Use a simulated chi-square distribution to decide whether the original chi-square indicates an association between the variables.