A magazine poll of unemployed men in the U.S. stated "22% of those polled suffer from clinical depression; the margin of error for the poll is plus or minus 6 percentage points." How would you
Interpret this statement? Assume that the margin of error is associated with a 95% confidence Interval.
A)The percentage of all unemployed men in the U.S. who suffer from clinical depression is 22%. The chance that this estimate is incorrect is 6%
B)There is a 95% chance that the percentage of all unemployed men in the U.S. who suffer from clinical depression is somewhere between 16% and 28%.
C)We can be 95% confident that the percentage of all unemployed men in the U.S. who suffer from clinical depression is somewhere between 16% and 28%.
D)A confidence interval for the percentage of all unemployed men in the U.S. who suffer from clinical depression is 17% to 27%. There is a 6% chance that this interval does not include the
Population proportion, p.

Question

A magazine poll of unemployed men in the U.S. stated "22% of those polled suffer from clinical depression; the margin of error for the poll is plus or minus 6 percentage points." How would you
Interpret this statement? Assume that the margin of error is associated with a 95% confidence Interval. 
A)The percentage of all unemployed men in the U.S. who suffer from clinical depression is 22%. The chance that this estimate is incorrect is 6%
B)There is a 95% chance that the percentage of all unemployed men in the U.S. who suffer from clinical depression is somewhere between 16% and 28%.
C)We can be 95% confident that the percentage of all unemployed men in the U.S. who suffer from clinical depression is somewhere between 16% and 28%.
D)A confidence interval for the percentage of all unemployed men in the U.S. who suffer from clinical depression is 17% to 27%. There is a 6% chance that this interval does not include the
Population proportion, p.

Quizplus · Accepted Answer

The correct interpretation of a margin of error in the context of a 95% confidence interval is that we can be 95% confident that the true percentage of all unemployed men in the U.S. who suffer from clinical depression falls within the range specified by the margin of error (22% ± 6%), which is between 16% and 28%. This does not imply a specific probability of the estimate being incorrect or that the true percentage falls within a different range with a certain probability.

A Magazine Poll of Unemployed Men in the U