Step 1. To solve problem C, we need to use conditional relative frequencies and determine which one has the strongest association.
The conditional relative frequency on the table is found by taking a number on the table and dividing it by the row or column total.
First, with the information given, we complete the missing values of the table:
Step 2. The conditional relative frequencies are:
Dividing by the row total:
• A customer likes hamburgers given that he likes burritos:
29/70 = 0.4143
• A customer does not like hamburgers, given that he likes burritos:
41/70 =0.5857
• A customer likes hamburgers given that he does not like burritos:
81/135 = 0.6
• A customer does not like hamburgers, given that he does not like burritos:
54/135 = 0.4
Dividing by the column total:
• A customer likes burritos given that he likes hamburgers:
29/110 = 0.2636
• A customer does not like burritos, given that he likes hamburgers:
81/110 =0.7364
• A customer likes burritos given that he does not like hamburgers:
41/95 = 0.4316
• A customer does not like burritos, given that he does not like hamburgers:
54/95 =0.5684
Step 3. Identify the strongest association.
The greatest association is:
A customer does not like burritos, given that he likes hamburgers:
81/110 =0.7364
Because 0.7364 is the greatest number out of all of the conditional relative frequencies.
Answer:
Part C. The greatest association is:
A customer does not like burritos given that he likes hamburgers, the conditional relative frequency is 81/110 =0.7364