In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803 are in favor of installing bicycle safety signs. Based on the survey results, approximately how many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?Choose 1 answer:(A) 803(B) 3,170(C) 12,922(D) 15,092
Q. In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803 are in favor of installing bicycle safety signs. Based on the survey results, approximately how many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?Choose 1 answer:(A) 803(B) 3,170(C) 12,922(D) 15,092
Given Information: We are given:Number of voters surveyed = 1,000Number of voters in favor in the survey = 803Total registered voters in Armstrong = 16,092We need to find the proportion of the total voters that would be in favor based on the survey.Proportion in favor = Number of voters in favor in the survey / Number of voters surveyed= 1,000803
Calculate Proportion: Now we calculate the proportion:Proportion in favor = 1,000803= 0.803This means that approximately 80.3% of the surveyed voters are in favor of installing bicycle safety signs.
Estimate Number in Favor: To estimate the number of voters in favor in the entire town, we multiply the total number of registered voters by the proportion in favor:Estimated number in favor = Total registered voters ∗ Proportion in favor=16,092×0.803
Perform Multiplication: Now we perform the multiplication to find the estimate:Estimated number in favor = 16,092×0.803= 12,921.836Since we cannot have a fraction of a person, we round to the nearest whole number.
Round to Nearest Whole Number: Rounding 12,921.836 to the nearest whole number gives us:Estimated number in favor ≈12,922So, approximately 12,922 registered voters in the town of Armstrong are in favor of installing bicycle safety signs.
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