Freakonomics claims that basically all slaughtered turkeys are the result of artificial insemination:
Turkeys are hardly the only animals that are sex-starved before being trotted off to slaughter. Experts estimate that up to 95 percent of dairy cows and 90 percent of pigs are the product of artificial insemination. Chickens and beef cattle, meanwhile, are almost always brought to us by good old-fashioned reproduction.
Detailed description of the insemination process here – which you may want to read after you eat.
The Dish 