Chapter 4.1, Problem 38E

To determine

To select a response for the multiple choice question given.

Answer to Problem 38E

The option (e) is correct.

Explanation of Solution

The given sampling procedure randomly selects $350$ Republicans, randomly selects $400$ Democrats and randomly selects $250$ Independents.

We then note that it is impossible to select a group of voters consisting of $1000$ republicans, thus this group has no chance to be the sample. On the other hand, a group of $350$ Republicans, $400$ Democrats and $250$ Independents has a chance of being selected and thus all groups of $1000$ voters do not have the chance of being selected which makes the sample not a simple random sample. Thus, the option (e) is correct i.e. No, because not all possible groups of $1000$ registered voters had the same chance of being chosen.