http://www.dogsbite.org/bite-statistics-fatalities.htm has some interesting information.
To blame an animal’s behavior entirely on the owner is to ignore the entire concept of animal breeding and the animal’s own personality.
When you say that a Jack Russell burrowed into a family of 5, what do you mean? Do you have a link?
This study is flawed due to the fact it relies on media reports. Please do some research on past posts here for the real story and positive solutions.