A Qualified Health Claim is a claim that is permitted by the US Food and Drug Administration (FDA) which is supported by scientific evidence as regards a food substance and its relationship to a disease.
A qualified health claim is usually based on few evidences compared to authorized health claim. For example, when a new or emerging evidence of a food in relation to its ability to reduce the risk of a particular disease is found, but not concrete enough for the FDA to approve an Authorized Heath claim, the FDA then issues a Qualified Health Claim.
Therefore, in the case of selenium, the FDA approved a Qualified Health Claim.