I never said that unions create jobs, I asked if unemployment was lower when union membership was higher.
Looking at Bureau of labor statistics and Wikipedia, I found this: In 1953 union representation was 35% and unemployment was 3%. In 2014, union representation was 11.3% and unemployment was between 6 and 7 percent. I found my answer.
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Again, you picked the period just after WWII, when the US was the only major industrial power with standing plants and an workforce not decimated.
During the 1930s, union membership was high, but unemployment was about 23.6 percent in 1932;
Uh, unions, although started in the post civil war era, started gaining ground in membership and political power during the FDR admin who supported them. However, unions at that time were somewhat a comglomerate of separate entities, and only really became a force to be reckoned with in 1955 when the AFL-CIO came into being.
If you like to pontificate on how wonderful things were back in the 50s , that was the union heyday.
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Comparing two facts, correlation, does not mean they are interactive or, cause and effect. For example, wet sidewalks do no cause rain, even though wet sidewalks always happen during the rain.