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A national survey of 1500 adult citizens of a nation found that 19​% dreaded​ Valentine's Day....

A national survey of 1500 adult citizens of a nation found that 19​% dreaded​ Valentine's Day. The margin of error for the survey was 4.3 percentage points with 90​% confidence. Explain what this means. Which statement below is the best​ explanation?

A. In 90​% of samples of adult citizens of the​ nation, the proportion that dreaded​ Valentine's Day is between 0.147 and 0.233.

B. There is 90​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.147 and 0.233.

C. There is 90 90​% confidence that 19​% of the adult citizens of the nation dreaded​ Valentine's Day.

D. There is 85.7​% to 94.3​% confidence that 19​% of the adult citizens of the nation dreaded​ Valentine's Day.

Math   Statistics-And-Probability   
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Answer #1

Given : Sample proportion=19%=0.19

Margin of error=E=4.3%=0.043

Therefore , the 90% confidence interval for the true proportion of adult citizens of the nation that dreaded Valentine,s day is ,

Conclusion :

B. There is 90​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.147 and 0.233.

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