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 la residents: own a car - 3,251, do not own a car - 869, total - 4,120 nyc residents: own a car - 1,478, do not own a car - 6,182, total - 7,660 total: own a car - 4,729, do not own a car - 7,051, total - 11,780 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: Calculate percentage of LA residents who own a car

Percentage of LA residents who own a car = $\frac{3251}{4120}\times100\approx78.9\%$

Step2: Calculate percentage of NYC residents who own a car

Percentage of NYC residents who own a car = $\frac{1478}{7660}\times100\approx19.3\%$

Step3: Analyze each option

• Option 1: The data is about whether residents own a car (categorical), not quantitative.
• Option 2: Since $78.9\%>19.3\%$, there is a greater percentage of LA residents who own a car than NYC residents.
• Option 3: The total number of people who own a car is $4729$, not $4120$.
• Option 4: Number of people who own a car ($4729$) < number of people who do not own a car ($7051$).

Answer:

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