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

	own a car	do not own a car	total
nyc residents	1,478	6,182	7,660
total	4,729	7,051	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: Analyze first option

The survey categorizes residents by city and car ownership (categorical groups), not numerical measurements, so it is qualitative data, not quantitative. This statement is false.

Step2: Calculate LA car ownership %

Find percentage of LA residents with a car:
$\frac{3,251}{4,120} \times 100\% \approx 78.9\%$

Step3: Calculate NYC car ownership %

Find percentage of NYC residents with a car:
$\frac{1,478}{7,660} \times 100\% \approx 19.3\%$
Compare the two percentages: $78.9\% > 19.3\%$, so this statement is true.

Step4: Verify third option

The total number of people who own a car is 4,729 (from the "Total" row, "Own a car" column), not 4,120. This statement is false.

Step5: Compare car ownership totals

Total who own a car: 4,729; total who do not own a car: 7,051. $4,729 < 7,051$, so this statement is false.

Answer:

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