Question

Think of real-life examples of proportions and how a proportion of a small population could be compared to the proportion of a larger population.

Answer 1

there are lot of examples of real-life examples of proportions like Proportion of graduates in a country or

proportion of populations that support Democrats in US or Proportion of cancer patients in a country etc are few examples.

now we comparison of the proportion of the small population and large population

let P1 is the proportion of peoples who Support Democrats in the US

P2 is the Proportion of Peoples who support democrates in Newyork

so

Newyork Population is much smaller than that of the whole US

so P1 is Proportion of larger population and P2 is Proportion of smaller population

so here we will compare that both proportions are equal or not

for this, we can use Z test of the difference between two Proportions or we can find the confidence interval for the difference in the Proportion