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:

This is a conditional relative frequency table grouped by column (favorite meal). An association between gender and favorite meal means the proportion of one gender preferring a meal differs from the other gender for that meal.

• Comparing values within the same row (A vs B, B vs C) looks at meal preferences within one gender, not the link between gender and meal.
• If A (male breakfast proportion) is similar to E (female breakfast proportion), it shows no association for breakfast.
• If B (male lunch proportion) is not similar to F (female lunch proportion), it means the likelihood of preferring lunch differs by gender, indicating an association between the variables.

Answer:

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