Answer: DNATESTING

The term "dnatesting" refers to a type of testing that analyzes a person's DNA to reveal information about their genetic makeup. This can be used for various purposes, such as determining ancestry, identifying genetic diseases or predispositions, and establishing biological relationships between individuals. Based on the clue provided, the term "business in which one is paid to establish relationships" seems to refer to a profession or industry where individuals are compensated for building connections or establishing relationships with others. This could include various fields, such as sales, marketing, networking, or even certain aspects of customer service or relationship management.

Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Business in which one is paid to establish relationships. Explanations are generated by AI and may be inaccurate.