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. A 4-column table with 3 rows titled number of calories and location of meal preparation. The first column has no label with entries greater than or equal to 500 calories, less than 500 calories, total. The second column is labeled home with entries 0. 15, 0. 85,1. 0. The third column is labeled restaurant with entries 0. 55, 0. 45, 1. 0. The fourth column is labeled total with entries 0. 28, 0. 72, 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.

Answer 1

Conditional relative frequency compares a frequency count to the marginal total that represent the condition of interest. The correct conditions for the given problem is there is an association because the value 0. 15 is not similar to the value 0. 55.Thus the option B is the correct option.

Given information-

The first column has no label with entries $\geq$ 500 calories, < 500 calories and total.

The second column is labeled home with entries 0.15, 0.85 and 1.0.

The third column is labeled restaurant with entries 0.55, 0.45 and 1. 0.

The fourth column is labeled total with entries 0.28, 0.72 and 1.0.

The nutritionist has to determine an association between where food is prepared and the number of calories the food contains.

Conditional relative frequency

Conditional relative frequency compares a frequency count to the marginal total that represent the condition of interest.The greater the difference in the Conditional relative frequencies the stronger the evidence that an association exist.

For the given table there is a significance difference between the values of the calories. The difference between the calories of home is a significant difference of 0.15 to 0.85.

Thus the correct conditions for the given problem is there is an association because the value 0. 15 is not similar to the value 0. 55.Thus the option B is the correct option.

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