A national survey of 2500 adult citizens of a nation found that 21​% dreaded​ Valentine's Day. The margin of error for the survey was 4.3 percentage points with 90​% confidence. Explain what this means.

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Answer:

Step-by-step explanation:

There is

90​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.099 and 0.201

A national survey of

2500 adult citizens of a nation found that

21% dreaded​ Valentine's Day. The margin of error for the survey was 4.3 percentage points with

90​% confidence.

C. There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.167and 0.253.

Step by step Explanation :

 Sample Size (n)=2500

 The sample  proportion is  21% = 0.21

 The margin of error of the survey = 4.3% =0.043  

 C.I.=P + MOE ,P -MOE

C.I.=P + MOE

  • C.I.=0.21+0.043
  • C.I.=0.253

C.I.=P - MOE

  •  C.I.=0 .21-.043
  • C.I.=0.167

Therefore, the correct answer is 0.167and 0.253.

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