It's been exaclty 7 days that I applied for a position and I have not heard back. Is that normal or can I call and ask someone to see my status? It would be great to speak to a live person.

Normally takes 10 to 14 to hear depend upon department you applied to

Will they let people know if they are hired or not? Or do they leave people hanging if they dont hire them?

Both times I've worked there, it's taken between 6 and 8 days to hear anything. However you should definitely try to reach them. Continue checking amazon.force.com as well

I strongly recommend you apply for a different Amazon location, they lack organization due to the fact that the facility just opened, but if insist it takes around 7 days to get a response, sometimes even longer