Question

A sample of 50 people was randomly chosen, and 60% of them said that they would rather eat breakfast at home than at a restaurant.

If the confidence level and the point estimate remain the same but the sample size is increased to 100 people, which statement is true?



The new survey’s margin of error will be 50% the size of the original survey’s margin of error.
The new survey’s margin of error will be between 50% and 100% the size of the original survey’s margin of error.
The new survey’s margin of error will be 200% the original survey’s margin of error.
The new survey’s margin of error will be between 100% and 200% the size of the original survey’s margin of error.

Answer 1

Answer: B..........................................

Answer 2

The answer to this question would be: The new survey’s margin of error will be between 50% and 100% the size of the original survey’s margin of error.

A bigger sample will result in a narrower margin of error which is a good thing because your data will become more accurate. But twice size will not improve the margin into the half. It definitely became lower than 100% though