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In 2021 hybrid vehicles were found to have 3475 fires per 100,000 vehicles which is more than any other vehicle type. Researchers decide to pull a sample of 1000 of the newest hybrid vehicles to determine the proportion that have had a fire. (a) What is the parameter of interest? The proportion of hybrid vehicles in the sample that have caught fire The proportion of all new hybrid vehicles that catch fire The proportion of vehicles in the sample that are hybrid Thehicles that catch fire (b) \( p= \) Round answer to four decimal places.

Ask by Elliott Savage. in the United States
Mar 14,2025

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**(a)** The proportion of all new hybrid vehicles that catch fire. **(b)** \( p = 0.0348 \)

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The parameter of interest is "The proportion of all new hybrid vehicles that catch fire." This is what researchers aim to measure with their sample, as it gives insight into the safety and reliability of hybrid vehicles in general. For part (b), to determine \( p \), you would need the number of hybrid vehicles in the sample that have caught fire. If, hypothetically, 35 out of the 1000 vehicles sampled caught fire, the calculation would be \( p = \frac{35}{1000} = 0.0350 \). So, you would round that to \( p = 0.0350 \) for four decimal places.

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