A national survey of 1000 adult citizens of a nation found that 21% dreaded Vale

Question

A national survey of 1000 adult citizens of a nation found that 21% dreaded Valentine's Day. The margin of error for the survey was 14.1 percentage points with 85% confidence. Explain what this means. Which statement below is the best explanation? A. There is 85% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. B. There is 70.9% to 99.1% confidence that 21% of the adult citizens of the nation dreaded Valentine's Day. C. In 85% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.069 and 0.351. D. There is 85% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.069 and 0.351.

Explanation / Answer

Remember, 85% confidence interval means out of repeated samples, 85% will have the proportion within the intervals.

The correct answer is:  C. In 85% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.069 and 0.351.

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