Hot Dog Warning ("If it saves just ONE life....")

Really? REALLY!? Does anyone think this will work. A mother is going to suddenly pick up a pack of freaking hot dogs and say, "Oh My God! I NEVER thought about this. My child could chock on these wieners - of which he eats hundreds a year and has since birth! I gotta stop now!"
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The American Academy of Pediatrics wants a warning label on hot dogs, not because they’re unhealthy, but because their shape, size, and texture poses a huge choking hazard to kids and babies. The doctors want to go even further if possible, redesigning the food and others like it to lower the risk, according to a new policy statement published on the Pediatrics Web site Monday. Every year more than 10,000 children under 14 go to the emergency room after choking on food, and 17 percent of the incidents are caused by hot dogs. Warnings have long been required on toys that could pose a choking hazard. "If you were to take the best engineers in the world and try to design the perfect plug for a child's airway, it would be a hot dog," the statement’s author says. The National Hot Dog & Sausage Council supports a call for more education, but says that choking-prevention tips are already on the back of labels. The FDA plans to review the statement.
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USA Today brings this breaking news!
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You know, let's break this down for a moment. There are 300,000,000 Americans - so assume 14% are under 14 years old (a VERY low assumption because that would assume we all live to 100, AND an even distribution of ages, but this is fine to start with). That means 42,000,000 under 14. Let's assume in a typical year they eat a total of 12 hot dogs (again probably on the low side - but we are going with low guesses here). That means about 504,000,000 hot dogs a year are eaten by children under 14.
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The article says that each year 10,000 children go to the emergency room for chocking and 17% are due to hot dogs. That is 1,700 per year. That means every time your child eats a hot dog he has a 1 in 296,471 chance of chocking and going to the emergency room (not of dying - only going to the emergency room).
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Following the pediatricians logic, a warning sticker nearly 100 times bigger should be put on cars (which cause 193,000 injuries + 1,400 deaths to children under 14 every year). A warning sticker 18 times bigger should be put on every alcohol bottle (alcohol is a factor in 30,000 of those accidents involving children under 14). However, maybe "logic" is too strong a word in this context.