The N-H bond is more polar than the C-H bond. Nitrogen is the partial negative, and hydrogen is the partial positive atom.
Work Step by Step
According to the picture 6.8 (Page 263), the difference between the electronegativity of nitrogen and hydrogen (3.0 - 2.1 = 0.9) is greater than the same for hydrogen and carbon (2.4 - 2.1 = 0.3). Since that difference is proportional to the polarity of the bond, the N-H will be the more polar one. The less electronegative one is the hydrogen (2.1), so it will be the partial positive atom, and the nitrogen will be the partial negative.