See the details from The Heritage Foundation here. 

 But for the sake of argument, lets cede the point that anyone receiving
government employment assistance is ?employed?. Does that end up
changing the the impact of New Deal spending on unemployment? No. As
the chart above shows, even when using the numbers preferred by the leftist proponents of big government,
the story is still the same: Unemployment never made it near the
1970-2008 5.5% normal unemployment rate until well after the U.S.
entered World War II.

 

 ndchart.JPG