The Hamden board of education wants to know how the community feels about building a new media center for the middle school. They used the top 40 names out of the 7,300 names on the voter registration list and called every tenth person. Which of the following are true of the sample of 40 voters? Check all that apply.

A. The sample is not randomly chosen.

B. The sample should be larger to give more reliable information.

C. The sample size is too large to make inferences.

D. The sample size is too small to represent the population.

E. The sample size is too small and will show larger variation.

F. The sample is invalid because it randomly chooses voters.

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

Given : - They used the top 40 names out of the 7,300 names on the voter registration list.

To answer this question, let us go through the definition of Simple Random Sample.

Simple Random Sample of n measurements : -

every sample of size n has equal chance of being selected.

every item in the population has equal chance of being included.

In this case, every 'sample of 40 names' should have equal chance of being selected. Every name in the population of 7300 names should have equal chance of being included. we can draw such Random Sample using "simple random sampling methods" like simulation, using a random number generator, using a random number table to select sample.

But here they have conveniently selected only TOP 40 names without using any simple random sampling method or technique. So

A. The sample is not randomly chosen.

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