In this paper, we conduct a multi-criteria correspondence test to assess the extent of discrimination in access to employment against candidates with a hearing disability and compare it to three other potential grounds for discrimination: ethnicity, place of residence and gender. From October 2019 to February 2020, we sent 2315 applications to 463 job vacancies in the Paris region in France for two occupations, administrative managers and caregiver assistants, in both the private and public sectors. We find that discrimination on the grounds of disability is similar in scope to that found on the grounds of ethnicity in the profession of administrative manager, but discrimination against the disabled candidate is half that experienced by the North African candidate in the profession of caregiver assistant. Moreover, discrimination on the grounds of disability is twice as high in the profession of caregiver assistant, a role which requires more interaction with public, as in the profession of administrative manager. We do not find any evidence of a difference in callback rates based on place of residence or gender. Finally, we cannot conclude that hiring discrimination is systematically lower in the public sector than in the private sector, nor that being eligible for a public subsidy reduces hiring discrimination against the disabled candidate.