premier internet service slow downloads

I checked the modem out from here and all looks well however it's reporting a device with an older Ethernet port technology is connected and may not be up to speed.  Could you try connecting a PC with a gigabit Ethernet port directly to the modem and testing your speeds again?

When testing speeds, to get a truly representative number you need to operate with the following things in mind.

#1 Wired vs Wireless: Your connection to the internet is affected by both the 'wired' speed and your 'wireless' speed.  The ISP only has control over your wired speed - so test wired directly into the modem or router.

#2 Location, Location, Location: Several of the testing suites (speedtest.net, speedof.me, etc) have limited servers available.  For example, in the Phoenix market, the Tucson server for speedtest.net usually has a lower ping than the Phoenix server - so that is the server usually used.  The problem is that the Tucson server seems bandwidth capped at approx 30-40Mbps.  If I specify to use the Phoenix server, I get ~100Mbps.  Same connection, literally less than a minute apart in testing.  Use the tool here: https://myaccount.cox.net/internettools/speedcheck/speedcheck.cox?campcode=resaccount_tools_speed-ck when on the Cox network.

#3 Traffic: There are instances of network congestion.  It can mainly be attributed to three factors: traffic on your own home network, traffic on Cox's network, or backbone issues.  Easy way to determine?  Turn off all other devices on your network and run the test in isolation, or connect directly to the cable modem to run the test (if not using a gateway).  See #2 above for testing without worrying about backbone issues.

#4 Hardware: Before running the tests, power cycle both your modem and router (or gateway).  Make sure you unplug the power, and remove any batteries if you have an eMTA modem/gateway.  Hook it all back up, then run the test.

#5 Computer issues: If your computer takes forever to run flash games, is choppy on said flash games, gets a stutter when using a program when you aren't even using the internet, or has problems just working - try using a different device.

#6 Errors: Errors such as: Internet Explorer has stopped working, your browser just doesn't open up, or the browser just exits unexpectedly; these are errors that are caused by problems on your computer, not with the internet connection.

Just some food for thought.