Hi!

I'm sorry, I think I made myself unclear.

With P i am not referring to the value of the population (N). With P i mean the proportion of the population that has a smartwatch.

In my research, the assumption is that N is sufficiently large, that we can consider it infinite.

For example, in my previous example, p^ was 0.1. However, this does not mean that 10% of the population has a smartwatch. The proportion (P) of the population that has a smartwatch is 0.1 +/- a confidence interval with a certain confidence level. However, how do I calculate that confidence level that the proportion (P) of the population that has a smartwatch is larger or equal to 0.1, given the results of the experiment?

I want to thank you again for your help!