SOLUTION: A town surveyed 13,000 people to see if they like to walk or ride bike to work, 73% choose riding bike with a margin of error of +/- 3 %. Which represents the range for the total p

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Question 1206783: A town surveyed 13,000 people to see if they like to walk or ride bike to work, 73% choose riding bike with a margin of error of +/- 3 %. Which represents the range for the total people in the town who choose riding bike if there were 25,600 people living in the town?
a) The range is between 17,920 and 19,456.
b)The range is between 9,100 and 9,880.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sample size was 13000.
from that, it was determined that 73% chose riding a bike, with a margin of error of plus or minus 3%.
that ratio is applied to the population of 25600 to get:
.73 * 25600 = a mean of 18688.
.03 * 25600 = a margin of error of plus or minus 768.
18688 minus 768 = 17920.
18688 plus 768 = 19456.
your solution is selection a.