Here is another good reference for radon mitigation, with some good strategies for how to deal with it on a new house construction:
All About Radon | GreenBuildingAdvisor.com
We just built our house a few years ago and spec'd the sub-slab details in the link above, but I wasn't on site while that work was being done and it didn't exactly end up perfect (less than 4" of gravel, only a foot or so of horizontal run of under slab pipe, that pipe was "perforated" only a handful of times with a drill and so on). But we do have a "passive radon pipe" that runs straight up and out through a roof penetration. I had an outlet installed in the attic right next to the pipe so we could add a fan later if we needed to.
I've done 2 short term tests (3 days) and 1 long term test (90+ days) on my basement and main floor level. The basement levels were 5.7 a year ago, 9.3 a few months ago and 5.5 recently. Following the 9.3 reading I very carefully caulked and sealed the slab edge, drain penetrations and relief cuts throughout the basement so I was expecting a huge drop, but it ended up only 0.2 less than the test I had done this same time last year.
The main floor of our ranch-style house ranged from 1.7 to 3.1, so below the EPA recommended action level of 4.0 but above the World Health Organization level of 2.7. Apparently several European nations actually REQUIRE mitigation if above 6.5 or 6.7 (can't remember which).
So I have the data from the mail-in test kits, both short and long term, with another long term test underway now. I ordered the AirThings Home monitor, which seems to be highly regarded:
Radon Detector for Everyone - Airthings - Receive Your Detector Now! and I would be glad to post back how it compares with the mail in kits. It's a little more than the SafetySiren monitor.