[mothered]

On the UPS  tracking it says delivered left at residence, received by (last name). It doesn’t say signed.

Well, given It doesn't say that It was signed, the "received by (last name)" Is Inaccurate.

If you didn't sign, you couldn't have received It against your name.

What can I expect for the dna process of a price this high?

I'd say an Investigation Is almost certain, as well as a lengthy claims process.

Update:
So I called the day after delivery and talked to a nice rep who told me to wait the next day which I did and he called back to confirm I didn’t get it. He then said he will launch an investigation about the package I said sure because I never signed. I then got an email from amazon saying to check with neighbors blah blah blah and then said “Please allow 3 days while we investigate this matter. If you haven’t received your item by November 2, 2020 please let us know.” Which their time is off because in 3 days from the time of the email will be 10/31. So I will call back then insisting that I wait just 3 days like the email said. I’ll keep the post updated as I go forward

This confirms my previous thoughts on the matter:

I'd say an Investigation Is almost certain, as well as a lengthy claims process.

Do note that an Investigation Is part of their protocol to move forward with the claim, and nothing more. The upside thus far, Is that they still believe the probability of the package being missing as per your following reply:

I then got an email from amazon saying to check with neighbors

At this point, It's working In your favor. Please reply when you receive their response.