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Emanuel surveyed a random sample of 50 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 15 own fewer than 2 vehicles. There are 340 subscribers to Auto Wheel magazine. Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles?
Choose 1 answer:
(A) 15
(B) 84
(c) 102
(D) 238

Emanuel surveyed a random sample of 5050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 1515 own fewer than 22 vehicles. There are 340340 subscribers to Auto Wheel magazine. Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 22 vehicles?\newlineChoose 11 answer:\newline(A) 1515\newline(B) 8484\newline(C) 102102\newline(D) 238238

Full solution

Q. Emanuel surveyed a random sample of 5050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 1515 own fewer than 22 vehicles. There are 340340 subscribers to Auto Wheel magazine. Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 22 vehicles?\newlineChoose 11 answer:\newline(A) 1515\newline(B) 8484\newline(C) 102102\newline(D) 238238
  1. Determine Proportion: First, we need to determine the proportion of subscribers in the sample who own fewer than 22 vehicles.\newline1515 subscribers out of 5050 own fewer than 22 vehicles.\newlineTo find the proportion, we divide the number of subscribers who own fewer than 22 vehicles by the total number of subscribers surveyed.\newlineProportion = 1550\frac{15}{50}
  2. Calculate Proportion: Now, we calculate the proportion.\newlineProportion = 1550=0.3\frac{15}{50} = 0.3\newlineThis means that 30%30\% of the surveyed subscribers own fewer than 22 vehicles.
  3. Apply Proportion: Next, we apply this proportion to the total number of subscribers to estimate how many own fewer than 22 vehicles.\newlineTotal number of subscribers = 340340\newlineEstimated number of subscribers who own fewer than 22 vehicles = 0.3×3400.3 \times 340
  4. Perform Calculation: Now, we perform the calculation.\newlineEstimated number of subscribers who own fewer than 22 vehicles = 0.3×340=1020.3 \times 340 = 102

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