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 all vehicles that catch fire
Thin the sample that are hybrid
(b) Round answer to four decimal places.
Res

Question

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 all vehicles that catch fire
Thin the sample that are hybrid
(b)

Round answer to four decimal places.
Res

UpStudy AI · Accepted Answer

**Step 1: Identify the Parameter of Interest**

The parameter of interest is defined as a characteristic of the entire population that researchers want to estimate. In this problem, researchers are studying the fire rate among new hybrid vehicles. Therefore, the parameter of interest is:

- The proportion of all new hybrid vehicles that catch fire.

**Step 2: Determine the Value of $$ p $$**

The problem states that there were 3475 fires per 100,000 vehicles. To express this as a proportion, we compute:

$$
p = \frac{3475}{100\,000}
$$

Calculating this, we have:

$$
p = 0.03475
$$

Rounded to four decimal places:

$$
p = 0.0348
$$
**Parameter of Interest:** The proportion of all new hybrid vehicles that catch fire. **Value of $$ p $$:** 0.0348

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