The margin of error increases when the sample size ________ and the variation in a variable ________.
A)increases;increases
B)decreases;decreases
C)decreases;increases
D)increases;decreases

Question

Quizplus · Accepted Answer

The margin of error is inversely proportional to the square root of the sample size, which means that as the sample size decreases, the margin of error increases. Additionally, when the variation in a variable increases, it means that there is more diversity in the responses, making it harder to accurately represent the entire population with a smaller sample size, thus increasing the margin of error.

The Margin of Error Increases When the Sample Size ________