Question

the conditional relative frequency table below was generated by column using data comparing gender and a persons favorite meal to cook.

	favorite meal to cook
male	a	b	c	d
female	e	f	g	h
total	1.0	1.0	1.0	1.0

which would most likely indicate an association between the categorical variables?
the value of a is similar to the value of b.
the value of a is similar to the value of e.
the value of b is not similar to the value of c.
the value of b is not similar to the value of f.

Explanation:

Step1: Understand conditional relative frequency

Conditional relative frequency shows the proportion of data within a category. In this case, comparing gender and favorite - meal - to - cook. An association between categorical variables means that the distribution of one variable depends on the other.

Step2: Analyze the options

If there is no association between gender and favorite meal to cook, the conditional relative frequencies for males and females within each meal category should be similar. If there is an association, they will be different. For example, if the proportion of males who prefer lunch ($B$) is very different from the proportion of females who prefer lunch ($F$), it indicates an association between gender and favorite meal to cook.

Answer:

The value of B is not similar to the value of F.