Question

lisa is examining a two-way table representing the sales of juice packaged in bottles with an old or new label. in the table, p, q, r, and s are the number of bottles sold or left on the grocery store shelf last thursday.

sales of juice bottles

comparing which two values will determine whether the new label had an impact on sales?

• p and q
• p and r
• \\(\frac{p}{p+r}\\) and \\(\frac{q}{q+s}\\)
• \\(\frac{p}{p+q}\\) and \\(\frac{r}{r+s}\\)

Explanation:

Identify the relevant conditional relative frequencies

$$
LATEXBLOCK0
$$

Compare the proportions to determine the impact on sales

$$ \text{Compare } \frac{p}{p+q} \text{ and } \frac{r}{r+s} $$

Answer:

• (A) \(p\) and \(q\)
• (B) \(p\) and \(r\)
• (C) \(\frac{p}{p+r}\) and \(\frac{q}{q+s}\)
• (D) \(\frac{p}{p+q}\) and \(\frac{r}{r+s}\) (Correct answer)