Step 1: Think of when the phrase began.
It began in the late nineteenth century, an age when newspapers were the main mass medium. That alone rules out anything about television channels or news anchors.
Step 2: Recall who fought.
The papers of Pulitzer and Hearst competed hard in New York and used scandal, crime and exaggeration to win readers. This is the standard textbook story of the term.
Step 3: Pick between the two remaining ideas.
Competition between media conglomerates is a modern idea about ownership. The yellow journalism story is about two papers chasing sales.
Step 4: Select.
So the right option is number 2.
Extra check: Why the other options fail.
The word yellow in the term came from the Yellow Kid cartoon. It does not refer to a television channel, an anchor or a business group. The sensational style was a tool in a sales fight between two city papers, which is why option 2 alone fits. The other three options mix in modern media ideas that did not exist at that time.
Final Answer:
The term was coined for the rivalry between two newspapers for circulation, option 2.
\[ \boxed{\text{2}} \]