6
QuizMultiple Choice

Relative Frequencies and Association

Question 6 • FL-1200700-Mathematics for College Algebra MIS

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.

Answer
A
An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
B
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
C
An association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0.
D
There is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.

Explanation

When conditional relative frequencies are calculated by column, compare the distributions across the columns. If the frequencies are not similar, the distribution of one variable changes depending on the category of the other, suggesting an association. Therefore, the correct choice is “There is likely an association between the categorical variables because the relative frequencies are not similar in value.”

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