Margin of Error

Question 1

What is the formula to calculate the margin of error?

Answer 1

Margin of Error = Z * (σ / √n)

Question 2

True or False: The margin of error increases as the sample size increases.

Answer 2

False

Question 3

Fill in the blank: The margin of error is often expressed as a __________.

Answer 3

percentage

Question 4

How does increasing the confidence level affect the margin of error?

Answer 4

It increases the margin of error.

Question 5

What is the relationship between sample size and margin of error?

Answer 5

As sample size increases, the margin of error decreases.

Question 6

If the margin of error is 5% and the sample proportion is 50%, what is the confidence interval?

Answer 6

45% to 55%

Question 7

True or False: A smaller margin of error indicates a more precise estimate.

Answer 7

True

Question 8

What happens to the confidence interval if the sample size is doubled?

Answer 8

The width of the confidence interval decreases.

Question 9

What is the effect of a larger standard deviation on the margin of error?

Answer 9

It increases the margin of error.

Question 10

Fill in the blank: The margin of error is typically reported along with __________.

Answer 10

confidence intervals

Question 11

What is the primary purpose of calculating the margin of error?

Answer 11

To quantify the uncertainty associated with a sample estimate.

Question 12

True or False: The margin of error can be negative.

Answer 12

False