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:

To determine the association between categorical variables using conditional relative frequencies, we analyze the differences in the frequencies. If the relative frequencies of the two categories (0.21 and 0.79 here) are not similar, it suggests that the occurrence of one variable is related to the other (since their distributions differ). The sum of relative frequencies in a conditional table for a column (or row) is always 1.0, which is a property of relative frequencies and not related to determining association. So, dissimilar relative frequencies (0.21 vs. 0.79) indicate a likely association.

Answer:

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