Question

a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of them own a car
residents of los angeles and new york city
who own a car

which statement about the two - way frequency table is true?
the survey represents quantitative data.
there is a greater percentage of la residents who own a car than nyc residents who do
the total number of people in the poll who own a car is 4,120
more people in the poll own a car than do not own a car.

Explanation:

Step1: Analyze the first option

Quantitative data is numerical data that can be measured. But this data is about categories (own a car or not), so it's categorical data. So the first option is wrong.

Step2: Calculate the percentage of LA residents who own a car

The formula for percentage is \(\frac{\text{number of LA residents who own a car}}{\text{total number of LA residents}}\times100\).
For LA residents: \(\frac{3251}{4120}\times 100=\frac{325100}{4120}\approx78.9\%\)

Step3: Calculate the percentage of NYC residents who own a car

For NYC residents: \(\frac{1478}{7660}\times100=\frac{147800}{7660}\approx19.3\%\)
Since \(78.9\%>19.3\%\), the second option is correct.

Step4: Analyze the third option

The total number of people who own a car is \(4729\) (from the total row of the "own a car" column), not \(4120\). So the third option is wrong.

Step5: Analyze the fourth option

Number of people who own a car \(= 4729\), number of people who do not own a car \(=7051\). Since \(4729<7051\), the fourth option is wrong.

Answer:

There is a greater percentage of LA residents who own a car than NYC residents who do.