As was pointed out earlier, "Synthetic" in the NA market is a very loose term. Most "Synthetics" are actually a blend, often Base Stock III. True Synthetics are made from Base Stock IV & VI (V is sort of a "doesn't fit any category" dump spot for Nissan oddball mineral oil and such).Synthetic oils have been proven to provide better protection and performance in engines that can truly take advantage of it. Modern engines (particularly those running synthetic from the factory) tend to have extremely tight tolerances and need a very uniform molocule that is only really attainable from a synthetic oil, another good reason is most true synthetics tend to last longer than most conventional oils (there are always extenuating circumstances and oddballs to the rule).
I run Amsoil Signature Synthetic 5W-30 (says its good till 20k under normal driving and 15k under "severe" driving "gaurenteed") and I'll probably send a sample in at 10k (just hit 5k on it) to see how well its holding up.
Point being, synthetic will hold up a bit better than conventional dino-oil, but really most dino-oil now is pretty damn good to begin with, it just comes down to what you want to spend. Penzoil isn't as waxy as it used to be, we run it at the dealership and its done pretty well.
As long as its SAE 5W-30 and meets or exceeds API Standard "SL" then you're golden!