Question

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
≥ 500 calories	0.15	0.55	0.28
< 500 calories	0.85	0.45	0.72
total	1.0	1.0	1.0

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?
an association cannot be determined because the value 0.55 is similar to the value 0.45.
there is an association because the value 0.15 is not similar to the value 0.55.
there is an association because the sum of each column is 1.0.
an association cannot be determined because the sum of the rows going across is not 1.0.

Explanation:

In a conditional - relative frequency table, if the conditional relative frequencies are significantly different, an association exists. Here, the conditional relative frequency of meals with ≥ 500 calories prepared at home (0.15) is quite different from that of meals with ≥ 500 calories prepared at a restaurant (0.55). This indicates a difference in calorie - level based on meal - preparation location.

Answer:

There is an association because the value 0.15 is not similar to the value 0.55.