We have them in the woods around our neighbourhood, where the woods are large enough. They are very wary of people, but there are alot more deer in our neighbourhood over the past 15 years, so I think that is why they are showing up. I've only encountered them once, out on the ice in winter, and I saw signes of them after I camped on Long Island on the Kennebecasis River not to far from where I live.
It is true that we always have a certain population of coy-dogs in the province, which are an Eastern Coyote - Domestic Dog mix. They can be dangerous as they may have less natural fear of humans. The Eastern Coyote can be quite large and capable, but is generally very wary, even more so than our Black Bear, which is also very wary of humans. Less wary Coyotes and Coy-Dogs tend to be the ones that get shot by hunters and farmers and such, which tends to keep the population more wary, but there population seems to be increasing nonetheless. Very adaptable animal, so its behaviour should be expected to change over time.
By comparison, last time I checked...
Deer population in New Brunswick about 4-5 per square mile.
Moose population about 1 per square mile.
Black Bear population about 1 per 2 square miles.
Eastern Coyote population: difficult to say.
Wolves and Caribou disappeared from the province over 100 years ago.
Eastern Coyotes have only shown up since 1970, and have increased dramatically.
http://www.gov.ns.ca/natr/wildlife/conserva/coyotes.asp