**Core Concept**
The cold caloric stimulation test is a clinical assessment method used to evaluate the vestibular system's function, particularly the lateral semicircular canal. It involves irrigating the ear canal with cold or warm water to stimulate the vestibular apparatus and observe the resulting nystagmus.

**Why the Correct Answer is Right**
When cold water is introduced into the ear canal, it causes a decrease in temperature, which leads to a decrease in the peripheral vestibular nerve activity. This decrease in activity results in a slow phase of nystagmus in the direction of the cold stimulus, as the vestibular system attempts to compensate for the perceived loss of movement. The fast phase of nystagmus is in the opposite direction, away from the cold stimulus. In the case of the cold caloric stimulation test, the eyeball moves in the direction of the cold stimulus due to the slow phase of nystagmus.

**Why Each Wrong Option is Incorrect**
* **Option A:** This is incorrect because the cold caloric stimulation test does not induce movement of the eyeball in the direction opposite to the cold stimulus.
* **Option B:** This is incorrect because the cold caloric stimulation test is not used to assess the function of the central nervous system.
* **Option C:** This is incorrect because the cold caloric stimulation test is not used to assess the function of the auditory system.

**Clinical Pearl / High-Yield Fact**
The direction of nystagmus in the cold caloric stimulation test can be remembered using the mnemonic "Cold, Away": Cold water induces nystagmus with the fast phase away from the stimulus.

**Correct Answer: C. The fast phase of nystagmus is away from the cold stimulus.