I do indeed think you have something that can be used as a good "soundbite/discussion-point", but it needs a little bit more work first:
SafeSpeed wrote:
The first is the proportion of vehicles speeding at sample sites in free flowing conditions. The DfT publishes an annual report based on speed surveys. As a broad generalisation, they find that around 60% of vehicles are speeding at sample sites.
Note, this is at sample sites only. These same drivers who are currently exceeding the speed limit also spend a portion of their driving time NOT exceeding the speed limit.
SafeSpeed wrote:
The second is analysis of crash records. We generally find that about 11% of crashes have 'excessive speed' recorded as a crash causation factor. But we also know that (in sample surveys) 70% of excessive speed crashes are inappropriate speed within the speed limit with 30% of these are in excess of the speed limit. 11%*30% is 3.3%, so our best estimate is that 3.3% of crashes involve exceeding a speed limit as a contributory factor.
... and this is road-network-wide, i.e.not only relating to the sample sites where you quoted the 60% figure.
I think what is needed are figures that relate to identified stretches of road, average speed figures for each vehicle measured, and number of incidents relating to those vehicles.
Then a statement of the form "under comparable conditions (state road, conditions, time etc.):
- the risk of an incident whilst exceeding the speed limit was found to be X%
- the risk of an incident whilst NOT exceeding the speed limit was found to be Y% "
could be made.
SafeSpeed wrote:
Putting this in numerical terms, IF 60% of vehicles are speeding at sample sites AND speeding is dangerous THEN we would guess that the proportion of crashes involving speeding should be greater than 60%.
...
at those sample sites, yes.
Just want to make the argument watertight, I do think you're onto something here. Getting all the required data may be difficult though, IMO.