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
Q. 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
Determine Proportion: First, we need to determine the proportion of subscribers in the sample who own fewer than 2 vehicles.15 subscribers out of 50 own fewer than 2 vehicles.To find the proportion, we divide the number of subscribers who own fewer than 2 vehicles by the total number of subscribers surveyed.Proportion = 5015
Calculate Proportion: Now, we calculate the proportion.Proportion = 5015=0.3This means that 30% of the surveyed subscribers own fewer than 2 vehicles.
Apply Proportion: Next, we apply this proportion to the total number of subscribers to estimate how many own fewer than 2 vehicles.Total number of subscribers = 340Estimated number of subscribers who own fewer than 2 vehicles = 0.3×340
Perform Calculation: Now, we perform the calculation.Estimated number of subscribers who own fewer than 2 vehicles = 0.3×340=102
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