The influences of decorrelation on phase sensitivity are studied with a computer simulation based on the Bayesian theorem, when correlated photons produced by parametric down-conversion are incident on a Mach-Zehnder interferometer. Although the down-converted photons show a perfect correlation in the production process, this degree of correlation may be decreased by reflection, absorption, and scattering during propagation. It is found that this decorrelation results in phase sensitivity degradation, and that the sensitivity is related to the detector quantum efficiency. The results show that when the phase difference between the two paths is smaller the phase sensitivity is better. etter.