Question

If there are 5,200 registered voters are randomly sampled, which statements are true of a sample of 30 voters? Check all that apply.

The sample size is too small and will show a large variation.
The sample size is too small and can lead to false inferences.
This is an invalid sample because it randomly chooses voters.
A larger sample will give more reliable information.
The sample size is too large to make inferences.

Answer 1

The sample size is too small and will show a large variation.

The sample size is too small and can lead to false inferences.

A larger sample will give more reliable information.

Explanation:

When we take a random sample from a population, the size of the sample can affect the accuracy and precision of the estimate we make about the population. Here are the statements that apply to a sample of 30 voters taken from a population of 5,200 registered voters:

The sample size is too small and will show a large variation. (True)

The sample size is too small and can lead to false inferences. (True)

A larger sample will give more reliable information. (True)