Provide an appropriate response.
-In a poll of 278 voters in a certain city, 65% said that they backed a bill which would limit growth and development in their city. The margin of error in the poll was reported as 6 percentage points (with a 95% degree of confidence). Which statement is correct?
A)There is not enough information to determine whether the margin of error is consistent with the sample size.
B)For the given sample size, the margin of error should be smaller than stated.
C)The reported margin of error is consistent with the sample size.
D)The sample size is too small to achieve the stated margin of error.

Question

Quizplus · Accepted Answer

The reported margin of error of 6 percentage points for a sample size of 278 voters is consistent with typical outcomes in polling methodology, especially considering the 95% confidence level. This margin of error is reasonable for the given sample size, indicating that the poll's findings are expected to be within 6 percentage points of the true population value 95% of the time.

Provide an Appropriate Response