p0 = 34
p1 = 45
n0 = 8004
n1 = 6622
z = -2.0924
p = 0.03662
So, the improvement is statistically significant at 95% confidence (p < 0.05)
As far as practical significance, that's debatable . . .
In this case, these are indeed tiny percentages. But you're going from something that a lot of people dislike and that is more complicated (from a technical standpoint), so we can simplify things and user interaction with live chat is not impacted.
There is a lot of potential economic impact here; during a major problem (which WILL happen) the number of people looking for support would increase sharply. If people are blind to your support system, you could be saying goodbye to a large amount of customers. Ignoring stuff like this is a far more common trap. We spend a lot of money on firefighters, even though we hope they never have any fires to fight.