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Saturday
Most accidents happen between the hours of 7am and 9am and 4pm and 6pm. This is when 76% of the accidents in the USA occur.
That is impossible to answer accurately because so many auto accidents go unreported to either police or insurance companies.
Most household accidents occur in bathrooms, as people are in them a few times a day and often slip in the shower or on tiles.
In the whole world, millions of accidents occur every day. There are accidental accidents of course, and if there were only that many, there wouldn't be too much of a problem. Naturally though, there are more than that: Drunk driving accidents, Suicidal driving accidents, Drug induced accidents, and the occasional hitting of pedestrians, bikers, etc. Ultimately, you can't count the number of accidents because of classification in the court systems and whether an accident is counted as one or not (and that brings up a lot of legal things that I won't go into).
Friday
They may happen at ANY time of day, but primarily they occur after the hours of darkness.
any time of the day
Friday and Saturday nights
Statistically, there are more accidents that happen on holidays than other days of the year. According to recent statistics, a report from 2010, suggests close to 500 fatalities from traffic accidents occurred over Labor Day weekend.
It is estimated that there are nearly 15,000 car accidents every day. Of these, nearly 3,000 people die each day in accidents.