A March 2013 Gallup poll reports that 67% of American adults say that, if given

Question

A March 2013 Gallup poll reports that 67% of American adults say that, if given the opportunity. They would vote for a law that limits food sold in public schools to food that meets standards for high nutritional value.

The poll's stated margin of error was 4 percentage points with 95% confidence.

This means

A.

we can be sure that the percent of all adults who say they would vote this way is between 63% and 71%.

B.

the poll used a method that gets an answer within 4 percentage points of the truth about the population parameter 95% of the time.

C.

if Gallup took another poll using the same method, the results of the second poll would lie between 63% and 71%.

D.

we can say the true percent of American adults who would vote for a law that limits food sold in public schools to food that meets standards for high nutritional value is 33%.

A.

we can be sure that the percent of all adults who say they would vote this way is between 63% and 71%.

B.

the poll used a method that gets an answer within 4 percentage points of the truth about the population parameter 95% of the time.

C.

if Gallup took another poll using the same method, the results of the second poll would lie between 63% and 71%.

D.

we can say the true percent of American adults who would vote for a law that limits food sold in public schools to food that meets standards for high nutritional value is 33%.

Explanation / Answer

Since, the margin of error is 4% and the sample proportion is

67%. Thus, we can say with 95% confidence that the

percentage of adults who will vote this way will lie between

(67-4)% to (67 + 4)% i.e. 63% to 71%.

Thus, the poll uses a method that gets an answer within 4

percentage points of the truth about the population parameter

95% of the time. Hence, Option (B) is the correct choice. (Ans).

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