Question

The population of a city is 10,000 people. A researcher wants to estimate how many people in the cityown a car. The researcher surveys a random sample of 240 people and records these results.• 180 people own a car.• 60 people do not own a car.Based on the sample results, estimate the number of people in the city's population that own a car and thenumber that do not own a car. Complete the bar graph to show your estimates, rounded to the nearest 500.Drag the top of each bar to the correchreight.

Answer 1

Given:

Total population = 10,000

Sample size = 240

Number from sample that own a car = 180

Number that do not own a car = 60

Let's estimate the number of people on the population that own a car and number of people that do not own a car based on the sample.

Thus, we have the following:

`\begin{gathered} \text{Number that own a car = }\frac{Sample\text{ that own a car}}{sample\text{ size}}\ast Total\text{ population} \\ \\ \text{Number that own a car = }(180)/(240)\ast10000=0.75\ast10000=7500 \end{gathered}`

An estimated number of 7500 people own a car

`\begin{gathered} \text{Number that do not own a car = }\frac{Sample\text{ that do not own a car}}{\text{sample size}}\ast Total\text{ population} \\ \\ \text{Number that do not own a car = }(60)/(240)\ast10000=0.25\ast10000=2500 \end{gathered}`

An estimated number of 2500 people do not own a car.

To complete the bar graph, we have:

ANSWER:

• Estimated number of people that own a car = 7500

• Estimated number of people that do not own a car = 2500