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 conditional - relative frequency tables, an association exists when the conditional relative frequencies for different categories are significantly different. Here, the conditional relative frequency of a meal having ≥ 500 calories is 0.15 for home - prepared meals and 0.55 for restaurant - prepared meals. These values are quite different, indicating an association between the location of meal preparation and the number of calories.

Answer:

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