With computers the first thing you have to ask yourself is, is it hardware, software or wetware?
With the Internet you need to ask, is it my machine, my router or my ISP.
I'm lucky as I downloaded a wireless scanning app before apple pulled most of them from the AppStore.
A quick tap reveals if I'm connected to my router, but it's also useful when I'm out and want to connect to another network.
Don't know if such apps are now available and perhaps someone could recommend a good one.