The normalization integrals of the Bethe-Salpeter amplitudes are calculated in the Wick-Cutkosky model in order to check the conjecture that the sign of the norm is ${(\ensuremath{-}1)}^{\ensuremath{\kappa}}$ for $0lsl4$. It is explicitly verified for the following solutions with $n=l+1$: (1) $\ensuremath{\kappa}$ arbitrary, $s$ infinitesimal; (2) $\ensuremath{\kappa}=0$, $0ls\ensuremath{\le}2$; (3) $\ensuremath{\kappa}=1$, $0ls\ensuremath{\le}2+{(n+2)}^{\ensuremath{-}1}$; (4) $\ensuremath{\kappa}=0$, $4\ensuremath{-}s$ infinitesimal. Here $\ensuremath{\kappa}$, $n$, $l$ are the conventional quantum numbers, and ${s}^{\frac{1}{2}}$ denotes the bound-state mass in units of the constituent-particle mass. Some speculations are presented concerning the existence of ghost states.