Question

A polling company has decided to increase the size of its random sample of voters from about 3,000 people to about 5,500 people right before an election. A poll was designed to estimate the proportion of voters who favor a new law banning all exterior doors from opening inward. What is the effect of this increase?

a This increase will have no effect because the population size is the same.
b To reduce the bias of the estimate
c To increase the bias of the estimate
e To increase the variability of the estimate
f To reduce the variability of the estimate

Answer 1

Increasing the sample size from 3,000 to 5,500 people in the poll reduces the variability of the estimate.

Step-by-step explanation:

The effect of increasing the sample size from 3,000 to 5,500 people in a poll designed to estimate the proportion of voters who favor a new law banning all exterior doors from opening inward is to reduce the variability of the estimate.

A larger sample size reduces the impact of unusual responses and improves the representativeness of the population. It increases the accuracy of the poll results by minimizing the random errors.