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

\

$$\begin{tabular}{|c|c|c|} \\hline & \\begin{tabular}{c} sold in \\\\ 100 days or less \\end{tabular}$$

& \

$$\begin{tabular}{c} did not sell \\\\ within 100 days \\end{tabular}$$

\\\\
\hline
company a & 44.5\\% & 55.5\\% \\\\
\hline
company b & 45.1\\% & 54.9\\% \\\\
\hline
\end{tabular}

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:

Analyze the relative frequencies in the table

$$
LATEXBLOCK0
$$

Compare the row relative frequencies

$$
LATEXBLOCK1
$$

Determine association based on similarity

$$
LATEXBLOCK2
$$

Answer:

• 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. (Correct answer)