That's not how you test a power supply.
Google for "Paperclip test" and connect *only* a case fan to the PSU and then use the paperclip to short pins 16 and 17 on the 24-pin adapter - make sure you get it right, I'm talking from meory, but the paperclip test is easy to find. If that fan spins, then your 12V supply at least is working.
http://www.corsair.com/en-us/support/faqs/power-supplies (paper clip test described here).
For a more in-depth test you can get a $23 PSU tester that will test all the connectors.
http://www.newegg.com/Product/Product.aspx?Item=N82E16899261023
Whatever you do, don't power your CPU before you install the cooler - you will only cause massive damage or a shut-down within a few seconds. modern cpus...