TMZ said Wednesday afternoon's incident ended when Houston eventually allowed a flight attendant to fasten her seatbelt before takeoff.
The celebrity news Web site quoted an unnamed source close to the Grammy Award winner as saying she "overreacted a little bit after missing an earlier flight, but she's still 100 percent sober and was on the way to Detroit for her first day of shooting a new movie."
Houston's once-bright music and acting careers have been overshadowed in recent years by reports of her erratic behavior and battle with drug addiction.
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