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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.

\begin{tabular}{|r|c|c|c|c|}
\hline
& Vanilla & Chocolate & Strawberry & Total \\
\hline
Sprinkles & 0.10 & 0.15 & 0.05 & 0.30 \\
\hline
Nuts & 0.08 & 0.13 & 0.05 & 0.26 \\
\hline
Fruit & 0.14 & 0.19 & 0.11 & 0.44 \\
\hline
Total & 0.32 & 0.47 & 0.21 & 1 \\
\hline
\end{tabular}

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 survey results do not show a preference for any of the three topping choices.
D. The owner should use fruit as the mixed-in topping.



Answer :

GinnyAnswer
To determine which topping is most popular when paired with vanilla frozen yogurt, we need to analyze the relative frequencies from the survey data provided in the table.

The two-way relative frequency table for vanilla frozen yogurt shows the following data:

- Sprinkles: 0.10
- Nuts: 0.08
- Fruit: 0.14

To find the most popular topping for vanilla frozen yogurt, we compare these relative frequencies:

- 0.10 (Sprinkles)
- 0.08 (Nuts)
- 0.14 (Fruit)

Among these values, the highest relative frequency is 0.14, which corresponds to the fruit topping.

Therefore, the statement that is true based on the survey results is:

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

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