Final answer:
The Latin term for when the evidence is sufficient to presume discrimination has occurred is 'prima facie.' In contrast, 'habeas corpus' and 'certiorari' are types of writs that deal with the legality of detention and higher court reviews, respectively.
Step-by-step explanation:
The Latin term for when the evidence is sufficient to raise the presumption that discrimination has occurred is prima facie. This term translates to "at first glance" or "on its face" and is used in legal contexts to describe a case in which the evidence before trial is sufficient to prove the case unless there is substantial contradictory evidence presented at trial. It is often used in discrimination cases to establish a basic level of proof that, unless rebutted, would result in a finding of discrimination.
A writ such as habeas corpus is different in that it is a legal action through which a person can seek relief from unlawful detention. The importance of writ of habeas corpus is recognized in the Bill of Rights, which guarantees individuals the right to be charged with a crime if arrested, ensuring the government provides a valid legal basis for their detention. On the other hand, a writ of certiorari is an order from a higher court to a lower court to send up a case for review, typically used by the Supreme Court to select cases it will hear.