Per the Wikipedia article on the Coriolis effect:
Contrary to popular misconception, water rotation in home bathrooms under normal circumstances is not related to the Coriolis effect or to the rotation of the earth, and no consistent difference in rotation direction between toilet drainage in the Northern and Southern Hemispheres can be observed.
Only if the water is so still that the effective rotation rate of the earth is faster than that of the water relative to its container, and if externally applied torques (such as might be caused by flow over an uneven bottom surface) are small enough, the Coriolis effect may determine the direction of the vortex.
You can be forgiven for believing this to be true though. Again from the Wikipedia article:
The idea that toilets and bathtubs drain differently in the Northern and Southern Hemispheres has been popularized by several television programs and films, including Escape Plan, Wedding Crashers, The Simpsons episode "Bart vs. Australia", and The X-Files episode "Die Hand Die Verletzt".[30] Several science broadcasts and publications, including at least one college-level physics textbook, have also stated this.[31][32]