Sens. Amy Klobuchar Amy KlobucharSocial media platforms put muscle into National Voter Registration Day Battle lines drawn on precedent in Supreme Court fight Sunday shows - Ruth Bader Ginsburg's death dominates MORE (D-Minn.) and John Kennedy John Neely KennedyMORE (R-La.) on Tuesday introduced a bipartisan internet privacy bill that would give users more control over what websites can do with their data.

The new bill, the Social Media Privacy Protection and Consumer Rights Act, comes just weeks after Congress threatened Facebook CEO Mark Zuckerberg Mark Elliot ZuckerbergHillicon Valley: FBI, DHS warn that foreign hackers will likely spread disinformation around election results | Social media platforms put muscle into National Voter Registration Day | Trump to meet with Republican state officials on tech liability shield Facebook to 'restrict the circulation of content' if chaos results from election: report 2.5 million US users register to vote using Facebook, Instagram, Messenger MORE with tougher regulations when he testified in back-to-back hearings earlier this month.

“I don’t want to hurt Facebook, and I don’t want to regulate them half to death, either,” Kennedy said in a statement. “But I have a job to do, and that’s protecting the rights and privacy of our citizens.”

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The bill would give users the right to opt out of having their data collected and require websites to make their terms of service easily understandable. Users would also have the ability to order websites to delete their data and request copies of what has been collected about them.

Zuckerberg promised Congress that Facebook would take a broader view of its responsibility to consumers after it was revealed that Cambridge Analytica, a political firm that contracted with President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE’s 2016 campaign, obtained data on more than 87 million users without their knowledge.

Still, some lawmakers, such as Kennedy and Klobuchar, see the need for privacy legislation to rein in internet giants. Their bill would require websites to inform users of privacy violations within 72 hours of any breach.

“Every day companies profit off of the data they’re collecting from Americans, yet leave consumers completely in the dark about how their personal information, online behavior, and private messages are being used,” Klobuchar said in a statement. “The digital space can’t keep operating like the Wild West at the expense of our privacy.”