lisa is examining a two - way table representing the sales of juice packaged in bottles with an old or new…

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.\nsales of juice bottles\n| | sold | left on the shelf |\n|--|--|--|\n| new label | p | q |\n| old label | r | s |\ncomparing which two values will determine whether the new label had an impact on sales?\no p and q\no p and r\no $\frac{p}{p + r}$ and $\frac{q}{q + s}$\no $\frac{p}{p + q}$ and $\frac{r}{r + s}$
Answer
Explanation:
Step1: Understand the goal
We want to see if new label impacts sales. We should compare the proportion of sold bottles for new - label and old - label.
Step2: Calculate proportion for new label
The proportion of new - label bottles that were sold is $\frac{p}{p + q}$. This is because $p$ is the number of new - label bottles sold and $p+q$ is the total number of new - label bottles (sold + left on shelf).
Step3: Calculate proportion for old label
The proportion of old - label bottles that were sold is $\frac{r}{r + s}$. Here, $r$ is the number of old - label bottles sold and $r + s$ is the total number of old - label bottles (sold + left on shelf).
Answer:
D. $\frac{p}{p + q}$ and $\frac{r}{r + s}$