Which of the following surveys would have the largest margin

Which of the following surveys would have the largest margin of error? A) a random sample of n = 1000 from a population of 10 million B) a random sample of n = 500 from a population of 10 million C) a random sample of n = 1100 from a population of 20 million D) a random sample of n = 400 from a population of 20 million

Solution

We know that margin of error is a statistic expressing the amount of random sampling error in a survey\'s results.

As sample size increases (n) margin of error decreases and as sample size decreases (n) margin of error increases.

That is there is inverse relation between sample size and margin of error.

The surveys would have the largest margin of error is a random sample of n = 400 from a population of 20 million.

n=400 have a largest margin of error.