Question

A national survey of 1000 adult citizens of a nation found that 22​% dreaded​ Valentine's Day....

A national survey of 1000 adult citizens of a nation found that 22​% dreaded​ Valentine's Day. The margin of error for the survey was 14.1 percentage points with 85​% confidence. Explain what this means.

A. There is 85​% confidence that 22​% of the adult citizens of the nation dreaded​ Valentine's Day.

B. There is 70.9​% to 99.1​% confidence that 22​% 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 0.079 and 0.361.

D. There is 85​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.079 and 0.361.

Math   Statistics-And-Probability   
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Answer #1

margin or error(E) = 14.1% = 0.141

sample proportion () = 22% = 0.22

the 85% confidence interval be:-

interpretation:-

There is 85​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.079 and 0.361.(D)

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.

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