To attribute this targum to Jonathan ben Uzziel flatly contradicts the talmudic tradition (Megillah 3a), which quite clearly attributes the targum to Nevi'im alone to him, while stating that there is no official targum to Ketuvim.
Its early origins, however, are western i.e. from the Land of Israel, and the Talmudic tradition attributes its authorship to Jonathan ben Uzziel.
But because of a printer's mistake it was later labeled Targum Jonathan, in reference to Jonathan ben Uzziel.
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