I was installing Java today and this was shown in the installation. Is there anything that supports this claim?

I was installing Java today and this was shown in the installation. Is there anything that supports this claim?

There is actually some more detail on this on the Java website:
- 1.1 billion desktops run Java
- 930 million Java Runtime Environment downloads each year
- 3 billion mobile phones run Java
- 31 times more Java phones ship every year than Apple and Android combined
- 100% of all Blu-ray players run Java
- 1.4 billion Java Cards are manufactured each year
- Java powers set-top boxes, printers, Web cams, games, car navigation systems, lottery terminals, medical devices, parking payment stations, and more.
Which comes from the Learn about Java Technology webpage. These numbers can be drilled down into a bit more (e.g. blu-ray sales, PCs with Windows installed 1, etc.) but the figure they give in the setup actually seems to be fairly conservative.
With regards to some specific claims, Blu-ray players have to support BD-J which is used to for bonus content on Blu-ray disks which is why Blu-ray players must support Java.
One of the biggest areas of use of Java is in Java Cards which are smart cards containing embedded Java based programs that can be run on various devices. While Oracle cited a number of 1 billion units manufactured in 2007 back in 2008, others have noted total cumulative sales of about 5 billion units in 2007. This is another point that leads to the 3 billion devices claimed perhaps being a conservative estimate.
3 Billion seems reasonable based on the number of Java ME and Android devices in use.
There is a fair amount of evidence corroborating the "3 Billion devices" powered by Java - in fact there are likely be close to that number running Java ME (Micro Edition). This includes most of the low-cost phones currently being sold in China and India. There are also some 200 million active Android devices as of late 2011, with Android is still the fastest-growing mobile operating system. These should also be included.
Java ME makes up the bulk of this number, and is still available on most current-model phones that aren't Apple, Android or Windows Mobile, as well as practically all phones prior to iPhone/Android, going back as far as 2001.
For example, Nokia lists 338 handsets that they have released that support Java ME, dating back to the monochrome-screened 3410 in 2001. All Nokia OS and Symbian OS devices were Java ME compatible.
Motorola, RIM (Blackberry), Ericsson (now Sony Ericsson), Samsung, LG, Sagem, Sharp, Siemens, and others all have licenses for and have released phones based on Java ME.
This site claims close to 6 billion active mobile subscriptions, the CIA factbook claims 5.4 Billion(2010) which would put just over half as "run Java".
It should be noted that while many devices use a great deal of the Java ME stack, others (e.g. Symbian) are not java-based but allow Java ME applications to be run. Symbian also supports:
For application development. It's difficult to argue that a Symbian device is "powered by Java", and indeed many Symbian users have likely never run a Java ME application on their phone. But Oracle only claim "3 Billion devices run Java", and if you interpret that statement in a certain way it's probably fair.