Final answer:
Conventional audiometry is an appropriate hearing screening test for a 5-year-old child, as Rinne and Weber tests may be too complex for children of that age to participate in accurately.
Step-by-step explanation:
An appropriate screening test for hearing that can be administered by the nurse to a 5-year-old child is conventional audiometry. The Rinne and Weber tests involve the use of a tuning fork to distinguish between conductive hearing and sensorineural hearing loss. However, these tests require a certain level of patient participation and understanding that might be challenging for a 5-year-old child. Conventional audiometry provides a more suitable and reliable screening method for young children that can evaluate their hearing across a range of frequencies.