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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

In a recent survey of 11,000000 randomly selected registered voters in the town of Armstrong, 803803 are in favor of installing bicycle safety signs. Based on the survey results, approximately how many of Armstrong's 1616,092092 registered voters are in favor of installing bicycle safety signs?\newlineChoose 11 answer:\newline(A) 803803\newline(B) 33,170170\newline(C) 1212,922922\newline(D) 1515,092092

Full solution

Q. In a recent survey of 11,000000 randomly selected registered voters in the town of Armstrong, 803803 are in favor of installing bicycle safety signs. Based on the survey results, approximately how many of Armstrong's 1616,092092 registered voters are in favor of installing bicycle safety signs?\newlineChoose 11 answer:\newline(A) 803803\newline(B) 33,170170\newline(C) 1212,922922\newline(D) 1515,092092
  1. Given Information: We are given:\newlineNumber of voters surveyed = 1,0001,000\newlineNumber of voters in favor in the survey = 803803\newlineTotal registered voters in Armstrong = 16,09216,092\newlineWe need to find the proportion of the total voters that would be in favor based on the survey.\newlineProportion in favor = Number of voters in favor in the survey / Number of voters surveyed\newline= 8031,000\frac{803}{1,000}
  2. Calculate Proportion: Now we calculate the proportion:\newlineProportion in favor = 8031,000\frac{803}{1,000}\newline= 0.8030.803\newlineThis means that approximately 80.3%80.3\% of the surveyed voters are in favor of installing bicycle safety signs.
  3. 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:\newlineEstimated number in favor == Total registered voters * Proportion in favor\newline=16,092×0.803= 16,092 \times 0.803
  4. Perform Multiplication: Now we perform the multiplication to find the estimate:\newlineEstimated number in favor = 16,092×0.80316,092 \times 0.803\newline= 12,921.83612,921.836\newlineSince we cannot have a fraction of a person, we round to the nearest whole number.
  5. Round to Nearest Whole Number: Rounding 12,921.83612,921.836 to the nearest whole number gives us:\newlineEstimated number in favor 12,922\approx 12,922\newlineSo, approximately 12,92212,922 registered voters in the town of Armstrong are in favor of installing bicycle safety signs.

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