A survey has a margin of error of +/- 4%. In the survey, 67 of the 110 people interviewed said they would vote for candidate A. If there are 9570 people in the district, what is the range of the number of people who will vote for candidate A?


A. 5956 to 6260 people

B. 5596 to 6062 people

C. 5695 to 6620 people

D. 5569 to 6026 people

Respuesta :

Answer:

option B

Step-by-step explanation:

given,

sample of person interviewed 110

people voted for A = 67

percentage of the person voted for A = [tex]\dfrac{67}{110}[/tex]

                                                                 = 0.609

now, for all the people

   = 0.609 x 9570

   = 5829 people

now compensating the error

+ 4 % = 1.04 x 5829 = 6062 people

- 4 % = 0.96 x 5829 = 5596 people

so, the range of people voted for candidate A is

5596 to 6062 People

Hence, the correct answer is option B

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