Select the best answer. 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?

(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.

Question

Moriah

Mathematics

6 May, 09:06

Select the best answer. 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?

(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.

+4

Answers (1)

Know the Answer?

Mohammed · Answer 1

E

Step-by-step explanation:

Simple random sampling choses sample size of n where every size of n has an equal chance of being chose.

Now,

we see than a sample of 1000 republicans cant be chosen. Also, randomly selecting 350 repubs, 400 democrats, and 250 indeps has a chance of being selected and all groups of 1000 voters DO NOT have the same chance of being chosen.

This is not a simple random sample.

Answer choice E best lays this fact.