Question

amani computed in a two - way table the relative frequencies of sales of homes listed with two different real estate companies.
home sales by real estate company

	sold in 100 days or less	did not sell within 100 days
company b	45.1%	54.9%

which statement best describes the relationship between the two variables?

• there is an association because the relative frequencies by column are similar.
• there is an association because the relative frequencies by row are similar.
• there is no association because the relative frequencies by column are similar.
• there is no association because the relative frequencies by row are similar.

Explanation:

First, analyze the relative frequencies: For Company A, 44.5% sold in ≤100 days and 55.5% did not; for Company B, 45.1% sold in ≤100 days and 54.9% did not. The row relative frequencies (percentages for each company's sales outcomes) are very similar. When row/column relative frequencies across groups are similar, it means there is no association between the variables (real estate company and home sale timeline), as the outcome distribution is nearly identical for both companies.

Answer:

There is no association because the relative frequencies by row are similar.