A frozen yogurt stand offers three flavors of frozen yogurt and three different types of toppings. The owner recently surveyed customers about their favorite one-topping flavor combinations. The results are shown in the two-way relative frequency table below.
Vanilla Chocolate Strawberry Total
Sprinkles 0.10 0.15 0.05 0.30
Nuts 0.08 0.13 0.05 0.26
Fruit 0.14 0.19 0.11 0.44
Total 0.32 0.47 0.21 1
The owner wants to launch a new product that includes a topping already mixed into the frozen yogurt. If he uses vanilla frozen yogurt as the base of his new mix, which statement is true?
A.
The survey results do not show a preference for any of the three topping choices.
B.
The owner should use sprinkles as the mixed-in topping.
C.
The owner should use fruit as the mixed-in topping.
D.
The owner should use nuts as the mixed-in topping.
To determine which topping the owner should use as the mixed-in topping, we need to compare the relative frequencies of each topping with the vanilla flavor. According to the given table, the relative frequency of sprinkles with vanilla is 0.10, the relative frequency of nuts with vanilla is 0.08, and the relative frequency of fruit with vanilla is 0.14.
Comparing these values, we can see that the highest relative frequency is for fruit with vanilla (0.14), indicating that this combination is the most preferred by customers. Therefore, the owner should use fruit as the mixed-in topping.
Therefore, the correct answer is C. The owner should use fruit as the mixed-in topping.