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?

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.

Question

Mathematics

Deanna Bauer

18 February, 04:37

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?

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.

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Answers (1)

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Ally Kline · Answer 1

The correct answer is:

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

Explanation:

In a relative frequency table, if all of the variables have the same relative frequency, the variables are said to be independent, and in this case they may not have any association at all.

However, if the frequencies are different, there is an association between the variables. The greater the difference in the frequencies, the stronger the association.

Since our frequencies are 0.21 and 0.79, which are very different, there is likely a strong association between these two variables.