Answer:
The larger sample sizes gives a narrower confidence interval
Step-by-step explanation:
The larger sample sizes gives a narrower confidence interval, that is, a more "precise" estimation of the elections results.
In a confidence interval of proportions, we have that the lower end is given by:
[tex]L = \pi - z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which [tex]\pi[/tex] is the probability of a sucess, [tex]z[/tex] is a value from the Z table and n is the length of the sample.
The upper end is given by:
[tex]U = \pi + z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
As n increases, the difference between U and L decreases. This means that the confidence interval gets narrower.
