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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 |
|----------------------|-----------|------------------|-------|
| LA residents | 3,251 | 869 | 4,120 |
| 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?

A. The survey represents quantitative data.
B. There is a greater percentage of LA residents who own a car than NYC residents who do.
C. The total number of people in the poll who own a car is 4,120.
D. More people in the poll own a car than do not own a car.

Sagot :

GinnyAnswer
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."
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