Question

a conditional relative frequency table is generated by column from a set of data. the conditional relative frequencies of the two categorical variables are then compared.

if the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?

an association cannot be determined between the categorical variables because the relative frequencies are not similar in value.

there is likely an association between the categorical variables because the relative frequencies are not similar in value.

an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0.

there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.

Explanation:

When comparing conditional relative frequencies for categorical variables, a large difference between the values (like 0.21 and 0.79) suggests that the variables are related, as the outcome of one variable affects the frequency of the other. A sum of 1.0 for these frequencies is expected for complementary categories and does not indicate association on its own.

Answer:

There is likely an association between the categorical variables because the relative frequencies are not similar in value.