a survey was taken of a random sampling of residents of new york city and los angeles to compare how many of…

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\n| | own a car | do not own a car | total |\n|--|--|--|--|\n| la residents | 3,251 | 869 | 4,120 |\n| nyc residents | 1,478 | 6,182 | 7,660 |\n| total | 4,729 | 7,051 | 11,780 |\nwhich statement about the two - way frequency table is true?\nthe survey represents quantitative data.\nthere is a greater percentage of la residents who own a car than nyc residents who do.\nthe total number of people in the poll who own a car is 4,120.\nmore people in the poll own a car than do not own a car.
Answer
Explanation:
Step1: Determine data type
The data is about counts of car - owners and non - car - owners, which is categorical data, not quantitative. So the first statement is false.
Step2: Calculate percentage of car - owners in LA
The percentage of LA residents who own a car is $\frac{3251}{4120}\times100%\approx79%$.
Step3: Calculate percentage of car - owners in NYC
The percentage of NYC residents who own a car is $\frac{1478}{7660}\times100%\approx19.3%$. So the second statement is true.
Step4: Check total number of car - owners
The total number of people in the poll who own a car is $4729$, not $4120$. So the third statement is false.
Step5: Compare car - owners and non - car - owners
The number of people who own a car is $4729$ and the number of people who do not own a car is $7051$. So more people do not own a car than own a car, and the fourth statement is false.