A word with four native speakers, and a shelf life
One mispronounced word took over the household's vocabulary, and printing it now is the only way to keep it before he corrects himself.

HOPSITAL fills the chest in deep-teal brush lettering, enormous and confident. Underneath, in the same hand but far smaller: the whole family says it now. Nothing else is on the shirt.
Nobody in this house says the word correctly anymore — not because he can't tell the difference, but because everyone else quietly switched to his version instead of correcting it.
Why print the wrong word instead of the one it's supposed to be?
Because the version he says belongs to this particular house, and the correct spelling belongs to everyone.
"Hospital" said the standard way is available in any dictionary, forever. HOPSITAL exists for as long as one small mouth keeps producing it and everyone around him keeps repeating it back. Printing the standard spelling would just be a word; printing his version is a recording of a dialect that currently has four fluent speakers, all of them related to him.
Who is actually being made fun of here?
If anyone comes out of this looking silly, it's the adults, not him.
He hasn't changed. He's said it the same way since he learned it. The household is what moved — four grown adults heard a small child mangle a word and, rather than correct it, adopted his pronunciation into daily use at dinner, in the car, on the phone to relatives. That's the joke this shirt is telling, and it isn't at his expense.
Does the shirt need to explain what the real word is?
No — a translation underneath would undo the reason to print it this way at all.
The temptation is to add "(hospital)" in small type somewhere, as if the shirt needs to prove it knows the correct spelling. It doesn't. Reading HOPSITAL in context, next to a line that says the whole family says it now, tells anyone what's going on within a couple of seconds — and a footnote correcting it turns a family word back into an error report. Leave it exactly as said, uncaptioned.
Does printing his own invented word need anyone's permission?
No — it's a word one member of this family produces and the rest of it has adopted; there's nothing to license and nobody outside the house holds a claim on it.
The real question isn't permission, it's timing. A word like this belongs to him before it belongs to the shirt, in the sense that eventually he'll hear it played back and have some reaction to meeting his younger self this plainly. A signature still finding its own shape raises the same question — most children are glad to see an early version of themselves kept exactly as it was, though not every one of them, and asking once he's old enough to have an opinion costs nothing.
Does this work for a phrase the household built together, rather than one word he got wrong?
Yes, and it's arguably an easier print — a full sentence gives the lettering more room to move.
When there's no single word to point at
Some households don't have one mispronounced word so much as an entire private phrase that grew out of one, the way a list written in a child's own spelling can run to several lines instead of one. The principle stays the same: print exactly what gets said, at whatever length that turns out to be, without tidying the grammar on the way to the print file.
What happens to the shirt once he learns to say it right?
It stops being current and starts being a record — a different, better job for a shirt to do.
The correction is coming regardless of when this gets printed, so that isn't a reason to wait. A child's own sounds before they settle into words raise the same problem — capture it while it's still happening, because the corrected version will be available at any point afterward and the uncorrected one has a closing date nobody controls.
Does it print well?
Yes — brush lettering is a flat, hard-edged mark, and one word at this size leaves room either side.
A single deep teal on a light garment like bone or oatmeal holds the brush's texture — the flare where a stroke starts, the taper where it lifts — without a second colour doing any of the work. Keep the small caption beneath in the same ink rather than adding a second one; the size difference between the two lines already separates them.
How do I get one made?
Describe the word at JustOG — how it's said, who says it, and whether there's a smaller line underneath explaining who's in on it. Pick a direction, drag the crop frame, see it composited on the real garment, and it's made to order and shipped.
Designs other people have published are in the shop.
Somebody will correct him eventually, probably without meaning to, and HOPSITAL will just be a word that used to be a word.