How to prove statistical significance of incident locations

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First let me preface with I tried to search for this solution first but I dont really know how to word it and could not find any results so excuse me if this is a duplicate. I would like to know how to prove or test to show if this problem is statistically significant or not.

I am using Arc 10.3.1 and have a feature class of incidents and a feature class of roads. I queried out the major roads and buffered them to find out how many incidents fall within that road buffer.

I have approximately 6000 miles of roads. Of that 6000 miles, 900 miles are a major road. I also have 2010 incidents. Of those incidents 725 occured on a major road. (Ie 15% of the roads account for 35% of the problems) I would like to know of tutorial or guide that would show me how to prove or not prove if the incidents on a major road are significant or not.



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