Question

a conditional relative frequency table is generated by row from a set of data. the conditional relative frequencies of the two categorical variables are then compared. if the relative frequencies are 0.48 and 0.52, which conclusion is most likely supported by the data?
there is likely an association between the categorical variables because the relative frequencies are similar in value.
an association cannot be determined between the categorical variables because the relative frequencies are similar in value.
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 both close to 0.50.

Explanation:

In conditional relative frequency tables, if the relative frequencies of two categorical variables are similar (like 0.48 and 0.52 which are close in value), it indicates a possible association. If they were very different (e.g., 0.1 and 0.9), it might suggest no association or a strong difference - but here the values are similar.

Answer:

There is likely an association between the categorical variables because the relative frequencies are similar in value.