Back to forum
Math·Problem-Solving and Data Analysis·Inference from sample statistics and margin of error
medium
A researcher surveyed a random sample of 1,380 people from a certain state to estimate the percentage of people who support the governor’s recent approval of a bill. From the survey, the researcher estimated that 72% of people from the state support the governor’s approval of the bill, with an associated margin of error of 2.37%. The researcher repeated the survey with a random sample of people from the state that was double the original sample size. Assuming the margins of error were calculated in the same way, which of the following is true about the margin of error associated with the estimate from the larger sample?
A
The margin of error is between 2.37% and 3.37%.
B
The margin of error is between 4.37% and 5.37%.
C
The margin of error is greater than 5.37%.
D
The margin of error is less than 2.37%.