Which of the following is a recognized American Indian tribe in the United States?

The recognition of American Indian tribes is based on their unique cultural, historical, and social identities that are distinct from other ethnic or national groups. The Cheyenne is a prominent Native American tribe that is known for its rich history, traditions, and significant role in American history, particularly in the Great Plains region. They have a recognized status as a tribe, which provides benefits such as federal acknowledgment of their sovereignty, eligibility for certain government programs, and protection of their cultural heritage.

In contrast, the other choices—Irish, Spanish, and French—do not represent American Indian tribes. Instead, these groups refer to ethnic or national identities related to different countries or regions, without the specific tribal recognition associated with Native American cultures. Thus, the Cheyenne stands out as the only answer that accurately identifies a recognized American Indian tribe in the United States.