Chapter 1: Q R1.5. (page 76)

Facebook and age Use the data in the previous exercise to determine whether there is an association between Facebook use and age. Give appropriate graphical and numerical evidence to support your answer.
Make a dot-plot or stem plot to display small sets of data.
Describe the overall pattern (shape, center, spread) of distribution, and identify any major departures from the pattern (like outliers).

Short Answer

Expert verified

There exist some association between Facebook users and age.

Step by step solution

Given information

Age and Facebook Use the information from the last exercise to see if there is a link between Facebook usage and age.

Concept

A statistical graph or chart is a visual representation of statistical data in graphical form.

Calculation

Calculate the percentages for each type of student to learn about the relationship between Facebook users and age. The percentages are presented in the table below.

	Facebook user
Age	Yes	No
Younger	$\frac{72}{82} \times 100 = 95.12 %$	$\frac{4}{82} \times 100 = 4.88 %$
Middle	$\frac{49}{70} \times 100 = 70 %$	$\frac{21}{70} \times 100 = 30 %$
Older	$\frac{21}{67} \times 100 = 31.34 %$	$\frac{46}{67} \times 100 = 68.66 %$

As can be seen from the table above, the number of users reduces as the user's age rises. As a result, there is a link between Facebook users and their age. Now, using MINITAB, create a graph using the problem's given table as shown below.

To begin, enter all of the data into MINITAB. The screenshot is as follows.

Select the bar chart option from the dropdown menu after clicking on the Graph menu. A new dialogue box will appear after that. Select the values from a table option first, then the cluster choice under the two-way table option, and then click the OK button. Below is an example of a screenshot.

A new dialogue box will appear after that. Select yes and no responses in the graph variable choice, age in the row label option, and lastly, rows are outermost categories and columns are innermost in the row label option. Below is an example of a screenshot. Finally, press the OK button to get the desired graph of the entire procedure. Below is a graph of the data.

After that, a new dialogue box will display. In the graph variable option, choose yes or no replies, age in the row label option, and finally, rows are the outermost categories and columns are the innermost in the row label option. An example of a screenshot is shown below. Finally, press the OK button to obtain the desired method graph. A graph of the data is shown below. Therefore, there exists some association between Facebook users and age.