FREEHOLD, N.J.—Bail is set at $1 million for a New Jersey man accused of stabbing a stranger about a dozen times as she pushed her 5-month-old baby in a stroller at a Bed Bath & Beyond.

Monmouth County prosecutors say 19-year-old Tyrik Haynes of Middletown is also accused of setting fire last month to a cat that was later found dead.

A motive for Thursday's stabbing is under investigation. The victim remained hospitalized Saturday in critical but stable condition. Her child was not injured in the attack.

Prosecutors had asked a judge to keep Haynes' bail at $1,050,000 during a hearing Friday. He faces numerous charges, including attempted murder and child endangerment. A public defender representing him declined to comment to reporters after the hearing.