Answer: I take the health and comfort of our families just as seriously as that of our puppies! If I (or anyone else) lead you to believe something that isn't true, you could be stuck in a very unfortunate situation (and have a dog that needs a new home).
The true term for any animal that has a single-layer hair coat, is low-dander and lower risk of allergies (or less aggravating allergies). There is no such thing as a hypoallergenic dog, sadly.
Single-layer hair coated dogs, such as cockapoos, are significantly better for allergy sufferers. Some of us with allergies (my seasonal and pet allergies can be downright miserable) love these crosses because of the low-dander, hair coated qualities!
I have seasonal allergies and I do have allergies to both cats and dogs, and I, personally, do not have a problem with my dogs BUT everyone's allergies are different.
So, truthfully speaking, I really really strongly dislike the use of the accepted term of "hypoallergenic" applied to a dog that is NOT actually "hypoallergenic"... it really bugs me. Anyone that tells you that their puppy won't cause any chance of a reaction or is "super unlikely" or "very doubtful" is telling you a pack of lies.
Everyone's allergies respond differently!!
I have a full in-depth and more scientific answer on my Dog Blog. Follow the link below to get a MUCH better idea of whether or not you might be able to own a dog such as a Cockapoo without making yourself miserable with allergies!