To determine which statement about the two-way frequency table is true, let's go through each statement step by step, using the provided data.
1. Statement 1: The survey represents quantitative data.
This statement concerns the type of data in the table. Quantitative data refers to numerical data that can be counted or measured. Since the table lists numerical counts of residents who own or do not own cars, it does represent quantitative data. This statement is true.
2. Statement 2: There is a greater percentage of LA residents who own a car than NYC residents who do.
To verify this, we need to calculate the percentage of car owners in each city.
- For LA residents:
[tex]\[
\text{Percentage of LA residents who own a car} = \left(\frac{3251}{4120}\right) \times 100 \approx 78.91\%
\][/tex]
- For NYC residents:
[tex]\[
\text{Percentage of NYC residents who own a car} = \left(\frac{1478}{7660}\right) \times 100 \approx 19.30\%
\][/tex]
Since 78.91% (LA) is greater than 19.30% (NYC), this statement is true.
3. Statement 3: The total number of people in the poll who own a car is 4,120.
The table clearly shows the total number of people who own a car in both cities combined is 4,729, not 4,120. Therefore, this statement is false.
4. Statement 4: More people in the poll own a car than do not own a car.
To verify this, we compare the total number of people who own a car with those who do not:
- Total who own a car: 4,729
- Total who do not own a car: 7,051
Since 4,729 is less than 7,051, more people do not own a car than do. This statement is false.
Summarizing our findings:
- Statement 1: True
- Statement 2: True
- Statement 3: False
- Statement 4: False
Therefore, the true statements about the two-way frequency table are that the survey represents quantitative data and that there is a greater percentage of LA residents who own a car compared to NYC residents.
