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3 years ago

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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.

1 answer:

NeX [460]3 years ago

6 0

Answer:

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

Step-by-step 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.

______________________________________________

Relative frequency Students with car n = 18.

-------------------------------------------------- --------------------------------------

C<em>ell phone No cell phone Total n</em>

12/18 6/18 18

_______________________________________________

_______________________________________________

Relative frequency Students with car n = 18.

-------------------------------------------------- --------------------------------------

C<em>ell phone No cell phone Total n</em>

0.666 0.333 18

________________________________________________

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.

_______________________________________________

Relative frequency Students without a car n = 7

-------------------------------------------------- --------------------------------------

<em>Cell phone No cell phone Total n</em>

2/7 5/7 7

_______________________________________________

_______________________________________________

Relative frequency Students without a car n = 7

-------------------------------------------------- --------------------------------------

<em>Cell phone</em> <em> No</em> <em>cell phone Total n</em>

0.286 0.714 7

_______________________________________________

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

<em>Then these data suggest that. Those who have a car tend to have a cell phone.</em>

Option C

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