'correctly assume' is correct and usable in written English.
You can use it when you want to imply that you think something is true based on what you already know. For example: "Given the evidence, I think it is safe to correctly assume that he was the one who committed the crime."
(Outfielders might sit down to chat and correctly assume their teammates wouldn't take offense).
When it comes to using consumer products, many people correctly assume that doing laundry and taking showers are some of the main sources of energy consumption.
Big donors correctly assume they will probably be in office for years, and curry favor with contributions that only wealthy challengers can match.
The days when you walk into a publishing party and correctly assume that the handful of people who aren't white are authors rather than publishers need to be quickly consigned to the past.
Mr Swagel and Mr Marron argue that investors will, probably correctly, assume that the government will always intervene, so it makes sense to charge for that guarantee explicitly.Ruling out a private-sector solution may be premature.
When a state full of people who can't even decide whether or not they are Republican or Democrat swing 60-40 in a primary between nearly identical candidates, you can fairly, if not politically correctly, assume that there is something going on other than an intelligent appraisal of domestic policy.
He spotted people standing in the middle of the street and correctly assumed it was a block party.
Most likely, analysts and investors had correctly assumed that recertification, and a bundle of new money, would arrive.
He correctly assumed that he could still rely on his well-honed administrative bureaucracy to replace the decimated Grand Army.
Instead, they focused on practicing for what they correctly assumed would be treacherous field conditions during Sunday's game.
Unlike the first two Tests, the Wallabies didn't "run everything" as Eddie Jones had correctly assumed and advised his men thus.
