Question

The United States Senate has 2 senators from each of the 50 states. Select all methods that would select a sample of senators at random from the entire Senate.

a. Randomly choosing senators from one state.
b. Randomly choosing senators from each state.
c. Randomly choosing a specific number of senators.
d. Randomly choosing senators based on political party.

Answer 1

Three methods to select a random sample of senators from the entire Senate: randomly choosing senators from one state, randomly choosing senators from each state, and randomly choosing a specific number of senators.

Step-by-step explanation:

The methods that would select a sample of senators at random from the entire Senate are:

1. Randomly choosing senators from one state. This method would randomly select senators from a single state, resulting in a sample representing that specific state.
2. Randomly choosing senators from each state. This method would randomly select senators from all 50 states, ensuring that the sample represents the entire Senate.
3. Randomly choosing a specific number of senators. This method would randomly select a predetermined number of senators, offering a random sample from the entire Senate.

These methods would provide a fair and unbiased representation of senators from the entire Senate.