Question

Suppose that 35% of the 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 it randomly selects 350

Republicans, randomly selects 400 Democrats, and randomly selects 250 Independents,

did this sampling procedure result in a simple random sample of registered voters from

this state?

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 a different number of registered voters was selected from each party.

e. No, because not all possible groups of 1000 registered voters had the same chance of

being chosen.

Short answer

(e) No, because not every group of$1000$ registered voters has the same chance of being chosen.

Step-by-step solution

Given information

We need to identify that did this sampling procedure result in a simple random sample of registered voters from this state.

Explanation

According to the stated sample technique, $350$Republicans, $400$Democrats, and $250$Independents are chosen at random.

We then point out that selecting a group of $1000$Republican voters is difficult, hence this group has no possibility of becoming the sample. A group of $350$Republicans, $400$Democrats, and $250$Independents, on the other hand, has a probability of being chosen, and so not all groups of $1000$voters have the same chance of being chosen, which makes the sample less representative.