Answer :
To determine which statement about the given two-way frequency table is true, let's analyze each statement one by one.
### Analysis of the Frequency Table:
We have the following data from the survey:
- LA residents who own a car: [tex]\( 3,251 \)[/tex]
- LA residents who do not own a car: [tex]\( 869 \)[/tex]
- Total LA residents surveyed: [tex]\( 3,251 + 869 = 4,120 \)[/tex]
- NYC residents who own a car: [tex]\( 1,478 \)[/tex]
- NYC residents who do not own a car: [tex]\( 6,182 \)[/tex]
- Total NYC residents surveyed: [tex]\( 1,478 + 6,182 = 7,660 \)[/tex]
- Total number of people surveyed: [tex]\( 4,120 + 7,660 = 11,780 \)[/tex]
### Calculations:
1. Percentage of LA residents who own a car:
[tex]\[ \frac{3,251}{4,120} \times 100 \approx 78.91\% \][/tex]
2. Percentage of NYC residents who own a car:
[tex]\[ \frac{1,478}{7,660} \times 100 \approx 19.30\% \][/tex]
3. Total number of people who own a car:
[tex]\[ 3,251 (LA) + 1,478 (NYC) = 4,729 \][/tex]
4. Total number of people who do not own a car:
[tex]\[ 869 (LA) + 6,182 (NYC) = 7,051 \][/tex]
### Evaluation of Statements:
- The survey represents quantitative data: This statement is false because the survey data represents qualitative (categorical) data, indicating a characteristic (car ownership).
- There is a greater percentage of LA residents who own a car than NYC residents who do: This statement is true. LA has approximately 78.91% of residents owning a car, whereas NYC has about 19.30%.
- The total number of people in the poll who own a car is 4,120: This statement is false. The total number of people who own a car is actually 4,729.
- More people in the poll own a car than do not own a car: This statement is false. The number of people who own a car (4,729) is less than the number who do not own a car (7,051).
### Conclusion:
The only true statement about the two-way frequency table is:
"There is a greater percentage of LA residents who own a car than NYC residents who do."
### Analysis of the Frequency Table:
We have the following data from the survey:
- LA residents who own a car: [tex]\( 3,251 \)[/tex]
- LA residents who do not own a car: [tex]\( 869 \)[/tex]
- Total LA residents surveyed: [tex]\( 3,251 + 869 = 4,120 \)[/tex]
- NYC residents who own a car: [tex]\( 1,478 \)[/tex]
- NYC residents who do not own a car: [tex]\( 6,182 \)[/tex]
- Total NYC residents surveyed: [tex]\( 1,478 + 6,182 = 7,660 \)[/tex]
- Total number of people surveyed: [tex]\( 4,120 + 7,660 = 11,780 \)[/tex]
### Calculations:
1. Percentage of LA residents who own a car:
[tex]\[ \frac{3,251}{4,120} \times 100 \approx 78.91\% \][/tex]
2. Percentage of NYC residents who own a car:
[tex]\[ \frac{1,478}{7,660} \times 100 \approx 19.30\% \][/tex]
3. Total number of people who own a car:
[tex]\[ 3,251 (LA) + 1,478 (NYC) = 4,729 \][/tex]
4. Total number of people who do not own a car:
[tex]\[ 869 (LA) + 6,182 (NYC) = 7,051 \][/tex]
### Evaluation of Statements:
- The survey represents quantitative data: This statement is false because the survey data represents qualitative (categorical) data, indicating a characteristic (car ownership).
- There is a greater percentage of LA residents who own a car than NYC residents who do: This statement is true. LA has approximately 78.91% of residents owning a car, whereas NYC has about 19.30%.
- The total number of people in the poll who own a car is 4,120: This statement is false. The total number of people who own a car is actually 4,729.
- More people in the poll own a car than do not own a car: This statement is false. The number of people who own a car (4,729) is less than the number who do not own a car (7,051).
### Conclusion:
The only true statement about the two-way frequency table is:
"There is a greater percentage of LA residents who own a car than NYC residents who do."
