I still can't find evidence that the "faster spreading" UK COVID variant is actually spreading faster. Can someone point me towards the data? This is not a rhetorical question, any reference hugely appreciated

Ok, tweeps, I read the paper (it's not long). Here is my best summary. The paper states it is "unlikely" that the increase in prevalence of the new COVID is due to chance ("founder effect")
For all I can tell, the paper does NOT quantify this "unlikeliness". I would like to see a number.
Instead, what the paper does is that they ASSUME there is a second strain which is more infectious and ask *if* this explains the data, then how much more infectious is it. To which the answer is the widely quoted about 70%.
This isn't my research area, so please shout me down if I got this wrong. I'd really just like to have an answer.
Ok, here is another useful document, ht @rjf2018
https://app.box.com/s/3lkcbxepqixkg4mv640dpvvg978ixjtf/file/756964987830
https://app.box.com/s/3lkcbxepqixkg4mv640dpvvg978ixjtf/file/756964987830
It says there is "some uncertainty about the magnitude of the additional growth rate" but that "all estimates are compatible with a meaningful increase". Unfortunately, it contains no information about just how they arrived at that conclusion.