I am going through last week videos on `Null Hypothesis`

. As shown in the screenshot below, sample size, null hypothesised mean and population variance controls `test statistic z`

and hence the rejection and acceptance of Null Hypothesis.

**I am looking for some intuition why the ratio of sample size to population size doesn’t have any role here**. Whether the population is 1 billion or 1 thousand, sample size seems to have the same effect I would think a larger population would require a larger sample size for confidently rejecting or accepting a NULL Hypothesis , but there is no such relation reflected in the formulae presented.

Are there any related videos (past week or this week itself) which discuss this?