In: Math
Community members who attended the Annual Neighborhood picnic earlier today are experiencing illness which they believe are related to food served at the picnic. Using the table below:
Calculate the attack rate for the 1) baked ham, 2) spinach, and 3) cabbage salad. Show your work.
Which food (of the baked ham, spinach, and cabbage salad) is MOST LIKELY to have caused the illness? Discuss your answer.
Annual Neighborhood Picnic |
||||||||
Number of Persons Who |
Number of Persons Who |
|||||||
Ate Specified Food |
Did Not Eat Specified Food |
|||||||
Food |
Ill |
Well |
Total |
Ill |
Well |
Total |
||
Baked Ham |
29 |
17 |
46 |
17 |
12 |
29 |
||
Spinach |
26 |
17 |
43 |
20 |
12 |
32 |
||
Mashed potatoes |
23 |
14 |
37 |
23 |
14 |
37 |
||
Cabbage salad |
18 |
10 |
28 |
28 |
19 |
47 |
||
Jello |
16 |
7 |
23 |
30 |
22 |
52 |
||
Rolls |
21 |
16 |
37 |
25 |
13 |
38 |
||
Brown bread |
18 |
9 |
27 |
28 |
20 |
48 |
Attack Rate
For Exposed Group, the attack rate equals the number of people who ate item and became ill divided by the total number of people who ate that item.
For the not Exposed Group, the attack rate equals the number of people who did not eat but still became ill divided by the total number of people did not eat that item.
Food | Attack Rate (For Exposed) | Attack Rate (Not Exposed) |
Baked ham | (29/46)*100 = 63.04% | (17/29)*100 = 58.62% |
Spinach | (26/43)*100 = 60.47% | (20/32)*100 = 62.5% |
Cabbage salad | (18/28)*100 = 64.29% | (28/47)*100 = 59.57% |
For finding out the item that is MOST LIKELY to have caused the illness, we need to calculate relative risk.
Relative risk is calculated by dividing the attack rate of people who were exposed to the item by attack rate of those who were not exposed to the item.
Food | Relative Risk |
Baked ham | 63.04/58.62 = 1.075 |
Spinach | 60.47/62.50 = 0.968 |
Cabbage salad | 64.29/59.57 = 1.079 |
In this case, cabbage salad is MOST LIKELY to have caused the illness as it has the highest relative risk.