WASHINGTON — Initial claims for U.S. state unemployment jumped 38,000 to 407,000 in the March 29 week, well above expectations and the highest level since the Sept. 17, 2005, week in the aftermath of Hurricane Katrina, the Labor Department reported yesterday.

Analysts expected initial jobless claims to rise 4,000 to 370,000 in the March 29 week. The previous week’s initial claims level was revised up to 369,000 from the original 366,000.

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