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:

When conditional relative frequencies for two categorical variables are very similar (0.48 and 0.52 are nearly equal), it indicates that the value of one variable does not strongly affect the frequency of the other. This means no clear association exists between them.

Answer:

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