Is There a Difference in the Proportion of Individuals with Food

Multiple Choice

Is there a difference in the proportion of individuals with food allergies between young children and adults? We plan to test the following hypotheses:
​
H₀:p_Children = p_Adults, H₀:p_Children ≠ p_Adults
​
A survey finds that 13 among a simple random sample of 184 young children have some food allergy, compared with 4 out of 163 adults. What is the pooled proportion of individuals with a food allergy based on these data?

A) 0.0461
B) 0.0476
C) 0.0490
D) 0.0500