Under 1904.2(a), if my establishment is listed in Appendix A as a partially exempt industry, do I still have to report work-related fatalities, hospitalizations, amputations, or loss of an eye to OSHA?
Yes — even if your establishment is exempt from keeping routine injury and illness logs under Appendix A, you must still report any work-related fatality, in-patient hospitalization, amputation, or loss of an eye to OSHA. See the partial exemption rule in 1904.2(a)(1) and the reporting requirements in 1904.39 for the kinds of incidents that always must be reported.