Question

Which of the following correctly compares the margin of error on a poll of 1,000 people to the margin of error on a poll of 200 people?

A. The margin of error for a poll of 1,000 people is 31 percent and the margin of error for a poll of 200 people is 14 percent.
B. The margin of error for a poll of 1,000 people is 14 percent and the margin of error for a poll of 200 people is 31 percent.
C. The margin of error for a poll of 1,000 people is 3.2 percent and the margin of error for a poll of 200 people is 7.1 percent.
D. The margin of error for a poll of 1,000 people is 7.1 percent and the margin of error for a poll of 200 people is 3.2 percent.

Answer 1

Answer: C. The margin of error for a poll of 1,000 people is 3.2 percent and the margin of error for a poll of 200 people is 7.1 percent.

The margin of error will decrease with the higher number of data. That is why taking more respondent will give a more accurate data. The formula for margin of error should be 1/
`√(n)`
So, the margin of error for 1000 people would be: 1/
`√(n)`= 1/
`√(1000)`= 0.0316= 3.2 pecent
Margin of error for 200 people would be: 1/
`√(n)`= 1/
`√(200)`= 0.0707= 7.1 pecent