In this paper, we investigate the quantum interference of output port by considering any photon-number state and photon-added coherent states (PSCS) as inputs of Mach-Zehnder interferometer. We re-present the relationship between input and output operators obtained by Weyl ordering and study the quantum statistical properties of the output field by one output's Wigner function. Furthermore, we mainly analyse the phase sensitivity on the basis of photon-number parity measurements scheme. Finally, we also discuss the internal relationships between the output's Wigner function and phase sensitivity of interferometer. It is shown that the negativity of output's Wigner function, the parity signal resolution and the interferometer's phase sensitivity can be improved by adding the photon numbers to coherent states.