Question

Scotland County has a population of 35,093 people. of those people, 22,429 people are registered to vote.

What happens to the probability of 75% of residents being registered to vote as the same size increases?

Answer 1

Currently the exact proportion of people who are registered to vote for the entire population can be calculated as :-

22,429/35,093 = 0.639130310888211 =  63.91%

In the sample taken the probability of 75% of residents being registered to vote is provided.

Now as the sample size increases, the sample proportion would tend to the population proportion i.e. the probability of 75% of residents registered to vote would decrease and become closer and closer to 63.91%, the actual population proportion.

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