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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
\begin{tabular}{|c|c|c|c|}
\hline & Own a car & Do not own a car & Total \\
\hline LA residents & 3,251 & 869 & 4,120 \\
\hline NYC residents & 1,478 & 6,182 & 7,660 \\
\hline Total & 4,729 & 7,051 & 11,780 \\
\hline
\end{tabular}

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.



Answer :

GinnyAnswer
Let’s analyze the given data from the survey:

- For Los Angeles (LA):
- Number of residents who own a car: 3,251
- Number of residents who do not own a car: 869
- Total number of surveyed residents: 4,120

- For New York City (NYC):
- Number of residents who own a car: 1,478
- Number of residents who do not own a car: 6,182
- Total number of surveyed residents: 7,660

- Combined total (LA and NYC):
- Number of residents who own a car: 3,251 + 1,478 = 4,729
- Number of residents who do not own a car: 869 + 6,182 = 7,051
- Total number of surveyed residents: 4,120 + 7,660 = 11,780

Now, let’s evaluate each of the given statements:

1. The survey represents quantitative data.
- This statement is False because the survey data is categorical, not quantitative, as it categorizes residents into those who own a car and those who do not.

2. There is a greater percentage of LA residents who own a car than NYC residents who do.
- Let’s calculate the percentage of residents who own a car in each city:
- LA: [tex]\(\frac{3,251}{3,251 + 869} \approx 78.91\% \)[/tex]
- NYC: [tex]\(\frac{1,478}{1,478 + 6,182} \approx 19.30\% \)[/tex]
- This statement is True because 78.91% > 19.30%.

3. The total number of people in the poll who own a car is 4,120.
- This statement is False. The correct total number of people who own a car is 4,729.

4. More people in the poll own a car than do not own a car.
- By comparing the totals:
- Number of people who own a car: 4,729
- Number of people who do not own a car: 7,051
- This statement is False because more people do not own a car (7,051) than those who own a car (4,729).

Based on the analysis, the 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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