Instead of judging each statement alone, compare them against the basic cause and effect chain of erosion. Soil and water conservation exists precisely because moving water on land can strip away topsoil, so any definition that mentions preventing water-caused erosion while saving rain water and soil moisture for crops lines up with the accepted meaning of the subject, which confirms Statement (I).
For Statement (II), remember that erosion severity depends heavily on the velocity of runoff, and velocity depends on slope. Steeper slopes give water more gravitational pull, so it moves faster and detaches and carries more soil particles, which is why hilly tracts are erosion hotspots compared to plains. This confirms Statement (II) as well.
Both explanations hold up on their own and do not contradict each other, so both are correct together.
\[\boxed{\text{Both Statement (I) and Statement (II) are correct}}\]