Question

the conditional relative frequency table below was generated by column from a frequency table comparing the color of a flower to a type of flower.

	daisy	rose	total
yellow	d	e	f
white	g	h	j
total	1.0	1.0	1.0

which would most likely indicate an association between the categorical variables?

• the value of g is similar to the value of h.
• the value of b is similar to the value of e.
• the value of g is not similar to the value of h.
• partially visible option

Explanation:

Step1: Recall association in tables

In a conditional relative frequency table (by column), if variables are associated, the conditional distributions (column-wise) differ. So, for different columns (Daisy, Rose), the relative frequencies for a color should differ if associated.

Step2: Analyze each option

• Option 1: \( G \approx H \) (White in Daisy and Rose similar) → less association (distributions similar).
• Option 2: \( B \approx E \) (Red in Rose and Yellow in Rose? No, B is Red-Rose, E is Yellow-Rose. Wait, no—B is Red-Rose, E is Yellow-Rose. Similarity here doesn't indicate association. Wait, no: \( G \) is White-Daisy, \( H \) is White-Rose. If \( G

eq H \), that means the proportion of white daisies vs white roses is different → association. So option 3: \( G
ot\approx H \) → different proportions for white in daisy vs rose → indicates association.

Answer:

The value of G is not similar to the value of H.