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:

Step1: Understand conditional relative frequency

Conditional relative frequency helps in seeing relationships in data. If values are very different for different conditions, there is likely an association.

Step2: Analyze the given values

For meals prepared at home, the conditional relative - frequency of having ≥ 500 calories is 0.15, and for meals prepared at a restaurant, it is 0.55. These values are quite different.

Step3: Determine association

A large difference in conditional relative frequencies indicates an association between the two variables (location of meal preparation and number of calories).

Answer:

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