And I want to be very clear. Everything that I started, all the way from pure and brown to yellow to all this magenta, I'm just restating the same thing inside of this. It became a little bit more loosey-goosey once I went from the exact standard deviation of the sampling distribution to an estimator for it. And that's why this is just becoming, I kind of put the squiggly equal signs there to say, we're reasonably confident. I even got rid of some of the precision. But we just found our interval. An interval that we can be reasonably confident that there's a 95% probability that p is within that is going to be 0.43 plus or minus 0.1.