From Apple's specs on that computer there is no audio input other than the two built-in microphones. There is only audio output (headphones).
To me a "splitter" is something where I can take, say, two headphones and plug them into a single jack. It is two jack sockets leading to one jack. Since your jack is audio-out only this won't work, and even if it could a single socket cannot be used for two purposes simultaneously. You may not even need a splitter of any kind but what you definitely need is a converter.
The device to which I was referring lets you take either an analog headphone or a microphone and convert the signal into a digital form that interfaces with the computer through the USB port. Yes, the cheaper ones are limited in quality but you never got around to telling us exactly what you needed this for.