The correct explanation for why the water's path changed when the charged comb was brought near it is due to induction. When the charged comb is brought close to the neutral water, the electric field around the charged comb influences the distribution of charges in the water molecules.
Specifically, the positive and negative charges within the water molecules are polarized — the positive side of the water molecules is attracted toward the negatively charged comb (if the comb is negatively charged) and vice versa. This causes the water to be attracted to the comb, resulting in a visible change in the path of the water.
Therefore, the correct statement is: Due to induction, the charged comb attracted the neutrally charged water.