If you don’t want the government to see something, don’t store it digitally — which is why the following instructions are very important.
According to Amazon, when Amazon Echo or Echo Dot detect the wake word, when you press the action button on top of the devices, or when you press and hold your remote’s microphone button, the light ring around the top of your Amazon Echo turns blue, to indicate that Amazon Echo is streaming audio to the Cloud.
All of the audio in the room is recorded and stored, not just what you think you are asking Echo.
The device also records everything in the room prior to you using the wake word. When you use the wake word, according to Amazon, the audio stream includes a fraction of a second of audio before the wake word, and closes once your question or request has been processed.
When you go inside the Settings menu in your Alexa app on your phone, you can listen to every one of your requests by selecting History.