Judge Kimba Wood ruled that one of the four tests that are required to become a teacher in New York is not discriminatory, although whites passed at a much higher rate than black or Hispanic test-takers.

A federal judge on Friday ruled that a new licensing exam for teachers given by New York State did not discriminate against minorities, saying that even though they tended to score poorly, the test evaluated skills necessary to do the job.

The ruling is a departure from earlier decisions by the same judge, Kimba M. Wood of Federal District Court in Manhattan, in which she threw out past certification exams. It also symbolizes a significant moment in a long-running tug of war between two policy goals in education: making tests for new teachers more rigorous, and increasing the diversity of the nation’s teaching force.

The exam, the Academic Literacy Skills Test, often called the ALST, was first given in the 2013-14 school year, and is meant to assess a potential teacher’s reading and evidence-based writing skills, and ability to master the Common Core standards for English.

In New York, the exam is one of four tests new teachers must take to become certified.

Ken Wagner, a former New York State deputy commissioner of education who is now Rhode Island’s education commissioner, said in a court brief last month that the new tests were developed “with the need to address the achievement gap in mind and in recognition of the state’s responsibility to ensure that each newly certified teacher entered the classroom with certain minimum knowledge, skills and abilities.”

But some schools of education in New York complained that the literacy skills test was not a true measure of what makes a good teacher, and that many of their black and Hispanic students were failing it. An analysis last year found that 46 percent of Hispanic candidates and 41 percent of black candidates passed the test on the first try, while 64 percent of white candidates did so. Students may retake the exams.