I am wondering if there are criteria that I can use as basis to know that the application works in versions 2.2 and 3.0 of android os?

Like for example,

*It can be installed
*The response time is fast
*It supports the screen resolution...

By declaring android:minSdkVersion in AndroidManifest you declaring what minimum requirements is for your application and user with lesser spec cannot complain, because they been warned before download. You can read some stuff here - Versioning Your Applications

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