Answer:
The range of people who voted for other person = 7266 to 7872
Step-by-step explanation:
A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.
We get the percentage from this ,
Percentage = [tex]\frac{87}{114} \times 100[/tex] = 76.3 %
Border percentages = 72.3 and 80.3% (Since error = 4%)
We have already taken vote of 114 people so remaining = 9804
Lower end = 0.723 [tex]\times[/tex] 9804 = 7266
Upper end = 0.803[tex]\times[/tex] 9804 = 7872
Hence the range = 7266 to 7872