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:
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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. Using technology, what is the P-value of this test?

A) Greater than 0.10
B) Between 0.05 and 0.10
C) Between 0.01 and 0.05
D) Less than 0.01