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 Sold Left on the Shelf New Label p q Old Label r s Comparing which two values will determine whether the new label had an impact on sales?
Answer
A
p and r
B
p and q
C
the fraction with numerator p and denominator p plus q and the fraction with numerator r and denominator r plus s
D
the fraction with numerator p and denominator p plus r and the fraction with numerator q and denominator q plus s
Explanation
To determine whether the label affected sales, compare the proportion of each label’s bottles that sold. For the new label, that proportion is p/(p + q), since p sold and q remained on the shelf. For the old label, it is r/(r + s). Comparing these two proportions shows whether bottles with one label were more likely to sell.
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