Question

select the correct answer. 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
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 owner should use sprinkles as the mixed - in topping.
b. the owner should use nuts as the mixed - in topping.
c. the owner should use fruit as the mixed - in topping.
d. the survey results do not show a preference for any of the three topping choices.

Explanation:

Step1: Look at vanilla - topping frequencies

We focus on the vanilla row in the two - way relative frequency table. The relative frequencies for toppings with vanilla yogurt are: sprinkles 0.10, nuts 0.08, fruit 0.14.

Step2: Compare the frequencies

We compare the values 0.10, 0.08, and 0.14. Since 0.14>0.10>0.08, fruit has the highest relative frequency among the toppings for vanilla frozen yogurt.

Answer:

C. The owner should use fruit as the mixed - in topping