Waiting in line to check out at the supermarket, you see a copy of The Weekly World News with the headline "New Evidence Proves that Abraham Lincoln was a Woman!" None of the other newspapers or television news has mentioned this story. What approach is The Weekly World News probably using?

Yellow Journalism

Explanation:

The type of journalism that shows news that is not researched or factually accurate but instead is exaggerated in order to attract eyeballs. In other words doing whatever is necessary to attract attention while not considering whether the content is factually correct.

Here, The Weekly World News just wanted people to buy their paper and wrote a ridiculous headline.

Hence, they are using yellow journalism.