A cesium atomic beam having a high degree of polarization is prepared by optical pumping with two circularly polarized diode lasers, and a technique for state-sensitive atomic detection involving laserinduced Auorescence in a magnetic field (LIFB) is introduced. An atomic-beam polarization of 93% is measured using the LIFB technique, and the combined use of optical-state preparation and LIFB detection in an atomic-recoil experiment to study spin-changing electron-atom collisions is demonstrated.PACS number(s): 32.80.t, 32.60.+i, 34.80.Nz