A survey of food allergies in a simple random sample of 184 young children found that 13 had some kind of food allergy. What is the plus four sample estimate of the proportion of young children who have a food allergy for this sample?

Question

Quizplus · Accepted Answer

The plus four estimate adds two successes and two failures to the observed data. So, we adjust the number of children with allergies to 13 + 2 = 15 and the total sample size to 184 + 4 = 188. The estimated proportion is then 15/188 = 0.0798.

A Survey of Food Allergies in a Simple Random Sample