Question

Consider the variables "class level" and "college".

Part (a): Group the bivariate data for these two variables into a contingency table.

Part (b): Determine the conditional distribution of gender within each class level and the marginal distribution of gender.

Part (c): Determine the conditional distribution of class level within each gender and the marginal distribution of class level.

Part (d): Does an association exist between the variables "class level" and "college" for this population? Explain your answer.

Short answer

Part (a): The contingency table is given below,

Part (b): The required distribution is given below,

Part (c): The required distribution is given below,

Part (d): Yes. The conditional distributions of one variable given the other variable are not identical.

Step-by-step solution

Part (a) Step 1. Given information,

Consider the given question,

Part (a) Step 2. Write the contingency table. 

On grouping the bivariate data for the two variables "class level" and "college" into a contingency table is given below,

Part (b) Step 1. Determine the conditional distribution of gender.

The table given below is of required conditional and marginal distribution,

Part (c) Step 1. Determine the conditional distribution of class level.

The table given below is of required conditional and marginal distribution,

Part (d) Step 1. Explain if an association exist.

Yes, an association exist between the variables "class level" and "college" for this population.

The conditional distributions of one variable given the other variable are not identical.