Question

A poll has a percent error of 4%. The poll states 15,000 people will vote for Candidate A in the next election. Which statement describes what the actual number of people voting for Candidate A could be?

A.The actual number of people is either 9,000 or 21,000.

B. The actual number of people is either 14,400 or 15,600.

c. The actual number of people is either 14,423 or 15,625.

D. The actual number of people is either 14,940 or 15,060.

Answer 1

Let's get the amount of people that are in the percent error by multiplying .04 (4%) by 15000.

.04 x 15000 = 600

Now we can add or subtract 600 from 15000.

15000 - 600 = 14400
15000 + 600 = 15600

So your answer would be B, the actual number of people is either 14,400 or 15,600.