In that case, I stand corrected.

By no means, sir! Provided the clauses are short enough and the meaning entirely clear, there is nothing wrong with the construction, examples of which abound in literature (Austen, Dickens, etc.). Moreover, the technical term for the error you’re thinking of (but wrongly finding here) is “comma splice.”

I apologize in advance for being a pedant, but I can’t help but point out the irony here:

Now, first of all, astute grammarians will immediately recognize the need for an apostrophe in the word “parents.” I duly added it (after the S, of course). That’s not vandalism, it’s editing.

Astute grammarians will likewise recognize that the third sentence above is a run-on. (A semi-colon, not a comma, is called for.)

My husband is usually quite the mild mannered man, but he was fuming after our encounter with this gem of a hospital employee. She finally waltzed into our room 6 hours after delivery, berated us about our decisions to refuse vaccination, and demanded that we need to administer vit. K and eye ointment (keeping in mind protocol requires these things to be administered within 2 hours, and we already signed refusals), then after we maintained our refusals of these procedures, she proceeded to examine our 10lb 14 oz son. After a brief 2 sec listen to our son’s heart, she declared he had a heart murmur and would probably die over the weekend. BUT, if we would PROMISE to bring him in on Monday, she’d release us. They ran a BP on all four extremities, which were perfect, and we finally went home.