For PMs - How Technical are your data-driven decisions?

Whether it is prioritizing features in your backlog or generating product ideas, I believe there are many steps that involve using numbers in driving your decisions.

I'm just wondering how in-depth these are. For example, let's say you are trying to figure out the population size of your target audience. Are you doing power calculations every time to weigh in on the success of your analysis?

Is the industry moving towards effectively making every decision as objective as possible, from collecting and refining data?

How often are you filling in the blanks with just intuitive assumptions? Are they your call? How much executive authority do you have to make these calls?

Also lastly, what level of statistical knowledge are using on the daily or in your work with decisions?

Sorry if these are all dumb questions, I am not a PM but I want to be in the future.