Question

An insurance company collected data from a class of high school sophomores on whether or not they have a cell phone and whether or not they have a car. The two-way table below shows the data collected.

Calculate the relative frequency of the data to determine which association the two-way table suggests.
A. Those who do not have a car tend to have a cell phone.

B. Those who have a car tend not to have a cell phone.

C. Those who have a car tend to have a cell phone.

D. None of the associations listed are correct.

Answer 1

Those who have a car tend to have a cell phone.

Explanation:

Have a good day :)

Answer 2

C. Those who have a car tend to have a cell phone.

Explanation:

The relative frequency for a data set n is calculated by dividing each frequency
`x_i` by n.

We have a table that relates the use of cars and cell phones.

First, we take from the table the population that has a car.

`n = 18`

Then, of the students who have a car, 12 have a cell phone and 6 do not have a cell phone.

Then we calculate the relative frequencies
`f_(x_i)` for those who have a cell phone and those who do not.

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Relative frequency Students with car n = 18.

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Cell phone No cell phone Total n

12/18 6/18 18

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Relative frequency Students with car n = 18.

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Cell phone No cell phone Total n

0.666 0.333 18

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Most students who have a car also have a cell phone.

Now we calculate the relative frequency for students who do not have a car.

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Relative frequency Students without a car n = 7

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Cell phone No cell phone Total n

2/7 5/7 7

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Relative frequency Students without a car n = 7

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Cell phone No cell phone Total n

0.286 0.714 7

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Most students who do not have a car do not have a cell phone either.

Then these data suggest that. Those who have a car tend to have a cell phone.

Option C