Question

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

Part (b): Determine the conditional distribution of class level within each political party affiliation.

Part (c): Are the variables "political party affiliation" and "class level" for this population of night school students associated? Explain your answer.

Part (d): Without doing further calculation, determine the marginal distribution of class level.

Part (e): Without doing further calculation, respond true or false to the following statement and explain your answer: "The conditional distributions of political party affiliations class levels are identical to each other and to the marginal distribution of political party affiliations".

Short answer

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

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

Part (c): No, because the conditional distribution of class level for all values of "party affiliation" are identical.

Part (d): The marginal distribution of class level is fresh $0.1$, junior $0.4$, senior $0.2$and sophomore $0.3$.

Part (e): True, as the two variables "political party affiliation" and "class level" are not associated as the table in part (b) shows.

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 "political party affiliation" and "class level" into a contingency table is given below,

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

The table of required conditional distribution within each political part affiliation is given below,

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

No, there is no association between the two variables "political party affiliation" and "class level" for this population of night school students.

As the conditional distribution of class level for all values of "party affiliation" are identical.

Part (d) Step 1. Determine the marginal distribution.

Without any calculation, the marginal distribution of class level is given below,

As there is no association between the two given variables.

Part (e) Step 1. Explain if the statement is true or false.

The statement is true.

Because the two variables "political party affiliation" and "class level" are not associated as the table in part (b) shows.