That's a common fallacy. Even if it is open source someone could still be doing that. In order to be secure you would have to:
A) Download the source yourself B) Inspect the source C) Compile the source
Just because you have the source doesn't mean what you get from the Play Store/Amazon App store is 1:1 identical or even similar.
There is secret option D, have someone you trust do A through C and then give you the hash of the resulting compiled file. But two programs compiled on two machines often give different results due to library versions, compiler versions, environmental settings, and so on.