Question

In: Math

Community members who attended the Annual Neighborhood picnic earlier today are experiencing illness which they believe...

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

Solutions

Expert Solution

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.


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