Suppose that 35% of the registered voters in a state are registered as republicans, 40% as democrats, and 25% as independents. A newspaper wants to select a sample of 1000 registered voters to predict the outcome of the next election. If they randomly select 350 republicans, randomly select 400 democrats, and randomly select 250 independents, did this sampling procedure result in a simple random sample of registered voters from this district?

Respuesta :

Answer: No, this sampling procedure resulted in a stratified sample of registered voters from the district.

A sampling procedure will provide a simple random sample if 1000 registered voters had been selected without considering or identifying any other criteria.  

The procedure first classified the voters as Republicans, Democrats and independents. Furthermore, the selection was done in the same proportion of voters belonging to a particular category i.e Republicans were 35%, so 35% of 1000 voters = 350 republican were randomly selected to be part of the sample. This procedure is consistent with the steps followed in stratified sampling, not simple random sampling.

Group of answer choices:

A) Yes, because each registered voter had the same chance of being chosen.

B) Yes, because random chance was involved.

C) No, because not all registered voters had the same chance of being chosen.

D) No, because there were different number of registered voters selected from each party.

E) No, because not all possible groups of 1000 registered voters had the same chance of being chosen.

Answer:

The correct answer is letter "E": No, because not all possible groups of 1000 registered voters had the same chance of being chosen.

Explanation:

Simple random sample is a statistics term that describes the most basic, fundamental sample from a data population. The simple random sample is intended to be an equivalent representation of the entire data population. The simple random sample is generally used when there is not much information about a population.

In the example, we are not talking about simple random sample because out of the 1000 registered voters the republicans, democrats, and independents' followers have different amounts. Thus, they do not have the same chance of being selected.

Relax