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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. a 4-column table with 3 rows. the first column has no label with entries l a residents, n y c residents, total. the second column is labeled own a car with entries 3,251; 1,478, 4,729. the third column is labeled do not own a car with entries 869; 6,182; 7,051. the fourth column is labeled total with entries 4,120; 7,660; 11,780. which statement about the two-way frequency table is true?

Answer :

The true statement is;

There is a greater percentage of Los Angeles residents who own a car than New York City residents who do

Given,

Following is the presentation of the values:

The number of residents in Los Angeles own a car = 3251

The number of residents in New York City  own a car = 1478

Total residents who own a car = 4729

Los Angeles  residents who do not own a car = 869

New York City residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total Los Angeles residents sampled = 4120

Total New York City residents sampled = 7660

Total residents of both cities sampled = 11780

Here,

Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%

Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%

Then,

The total number of people in the poll who own a car = 4729

Therefore,

The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.

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