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

	breakfast	lunch	dinner	total
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:

An association between gender and favorite meal exists if the conditional relative frequencies for different genders within the same meal category differ significantly. For column-wise conditional frequencies, comparing values across rows (Male vs. Female) for the same meal column shows if gender affects the meal preference. If B (male conditional freq for lunch) and F (female conditional freq for lunch) are not similar, it means the likelihood of preferring lunch differs by gender, indicating an association. Other options compare values within the same gender or same meal category in a way that does not signal a gender-meal association.

Answer:

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