A study showed that only ten percent of American dog owners

Option A: Wrong
It is not impossible for dogs to participate in dog shows even if they haven't gone through formal obedience classes because the classes aren't stated to be the requisite qualifications needed for dog shows just that it's an added advantage to go thigh the classes.

Option B: Wrong
Fallacious argument. It's a fallacy to arrive at such presumptions. For the fact that owners do not enroll their dogs not infer that they don't teach them outside such arrangements. In actual sense, dogs learn more from informal arrangements.

Option C:Wrong
There are different learning methods and processes Dogs are subjected to. The formal and informal ones. The formal obedience comes under the formal training methodology whilst the home training by the owners would suffice for the informal. In this regard, it is wrong to assert that dogs are only trained for competitions.

Option D: Right
This is very correct as it suggests emphatically that Dogs behavioral pattern in public outings could be as a result of the training it has been made to undergo by its owner.

Option E: Wrong
This statement did not elucidate on the types of dogs that can actively participate in the shows. It's speculative to think only purebred Dogs do participate in shows.