Confidence Intervals and Margin of Error

The video tutorial explains how to determine the margin of error from a survey's confidence interval. It starts by defining the confidence interval and then describes the process of calculating the margin of error by subtracting the lower limit from the upper limit of the interval. The tutorial further explains the concept of positive and negative error and concludes with the final calculation of the margin of error, which is half the difference between the high and low ends of the confidence interval.

What is the range of the confidence interval mentioned in the survey results?

• 3.6% to 7.6%

• 4.6% to 8.6%

• 5.6% to 9.6%

• 2.6% to 6.6%

How often does the confidence interval hold true according to the survey?

• 17 times out of 20

• 20 times out of 20

• 19 times out of 20

• 18 times out of 20

What does a confidence interval represent in statistics?

• The mean of a dataset

• The error in a survey

• A range of values within which a parameter lies

• The exact value of a parameter

What does the term '19 times out of 20' imply about the confidence interval?

• It is accurate 90% of the time

• It is accurate 95% of the time

• It is never accurate

• It is always accurate

What is the first step in determining the margin of error from a confidence interval?

• Subtract the low end from the high end

• Multiply the high end by the low end

• Divide the high end by the low end

• Add the high and low ends of the interval

How is the confidence interval related to the margin of error?

• The margin of error is unrelated to the confidence interval

• The margin of error is the product of the confidence interval

• The margin of error is the difference between the high and low ends of the confidence interval

• The margin of error is the sum of the confidence interval

What is the first step in calculating the margin of error?

• Subtract the low end from the high end

• Divide the high end by the low end

• Add the high and low ends of the interval

• Multiply the high end by the low end

What is the difference between the high and low ends of the confidence interval in the example?

• 5%

• 4%

• 6%

• 3%

What is the margin of error calculated from the confidence interval?

• 4%

• 3%

• 1%

• 2%

Why is the margin of error expressed with a positive-negative sign?

• To confuse the reader

• To make the calculation easier

• To show the error is always positive

• To indicate the range of possible error in both directions