The correct answer for the idiom "Yellow journalism" is option 3, which states that it refers to writings in newspapers that try to influence people`s opinion by using strong language and false information.

Option 1, "Paid storytelling," may seem plausible as journalism often involves paying for stories, but it does not accurately capture the meaning of yellow journalism. Yellow journalism refers to a specific style of reporting, rather than the act of paying for stories.

Option 2, "Government reports published on yellow colored papers," is unrelated to yellow journalism. The term "yellow" in yellow journalism does not refer to the color of the paper but rather to sensationalism and exaggeration in reporting.

Option 4, "Journalism which agrees completely with the policies of the governments and capitalists," is also incorrect. Yellow journalism is not specifically aligned with government or capitalist agendas. It is more about sensationalism and manipulating public opinion.

Overall, option 3 provides the most accurate meaning of yellow journalism, highlighting its focus on using strong language and false information to influence readers.