Question

An outbreak of pandemic is associated with a family meeting in Muscat. In a cohort study, the investigator found that 7 of 9 attendees who ate apple dessert at the meeting had diarrhea. Also, 10 of 15 attendees who ate mango dessert had diarrhea. Only 2 of 12 attendees who did not eat any desserts had diarrhea.

2.1. Fill out the information (number of people in each cell) in the contingency table (see below)

2.2. Is there a relationship between having diarrhea and ate apple dessert or not eating any desserts (reference point) from them at 5% sig., level? Set the null hypothesis, choose a suitable analysis method to quantify this relationship, and write down the conclusion by providing all related statistical results.

2.3. Is there a relationship between having diarrhea and ate mango dessert or not eating any desserts (reference point) from them at 5% sig., level? Set the null hypothesis, choose a suitable analysis method to quantify this relationship, and write down the conclusion by providing all related statistical results.

Your answer:

	Diarrhea
Ate dessert	Yes	No	Total
Yes, apple dessert
Yes, mango dessert
No (reference point)
Total

Answer 1

2.1 People who had diarrhea after eating apple dessert -- 7 out of 9

People who had diarrhea after eating mango dessert -- 10 out of 15

People who had diarrhea without eating any dessert -- 2 out of 12

2.2 and 2.3. since around 2/3rd of both people who had either mango or apple desserts had diarrhea, I strongly believe that the common ingredient in the desserts were the problem not the apple or mango. So yes there is a relationship between having diarrhea and eating desserts whether it be apple or mango.