10
QuizMultiple Choice

Relative Frequencies and Association — Quiz

Question 10 • Mathematics I

The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant. Number of Calories and Location of Meal Preparation Home Restaurant Total is greater than or equal to 500 Calories 0 point 1 5 0 point 5 5 0 point 2 8 is less than 500 calories 0 point 8 5 0 point 4 5 0 point 7 2 Total 1 point 0 1 point 0 1 point 0 A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true?

Answer
A
An association cannot be determined because the sum of the rows going across is not 1 point 0 .
B
There is an association because the value 0 point 1 5 is not similar to the value 0 point 5 5 .
C
An association cannot be determined because the value 0 point 5 5 is similar to the value 0 point 4 5 .
D
There is an association because the sum of each column is 1 point 0 .

Explanation

Because the table is conditional by column, compare the calorie proportions within each location. The proportion of meals with at least 500 calories is 0.15 at home and 0.55 at a restaurant, which are not similar. This difference indicates an association between meal-preparation location and calorie count, so choice B is correct.

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