Statistical Analysis Chapter 9, Case Study 1: In this case, we will analyze the significance of the association
Statistical Analysis
Chapter 9, Case Study 1:
In this case, we will analyze the significance of the association between various different variables. Since the variables being considered are all categorical, the appropriate statistical tool is the Chi-Square test of independence.
Age versus Web use
The following table shows the corresponding contingency table:
| 0bserved | WWW | Other | Total |
| Under 18 | 22 | 24 | 46 |
| 18-25 | 160 | 161 | 321 |
| 26-35 | 328 | 184 | 512 |
| 36-45 | 277 | 189 | 466 |
| 46-55 | 224 | 164 | 388 |
| Over 55 | 101 | 109 | 210 |
| Total | 1112 | 831 | 1943 |
We are interested in testing the following null and alternative hypotheses:
\[\begin{aligned}{{H}_{0}}:\,\,\, \text{Age}\text{ and }\text {Web use}\text{ are independent} \\ {{H}_{A}}:\,\,\,\text{Age}\text{ and }\text {Web use}\text{ are NOT independent} \\ \end{aligned}\]
From the table above we compute the table with the expected values
| Expected | WWW | Other |
| Under 18 | 26.3263 | 19.6737 |
| 18-25 | 183.7118 | 137.2882 |
| 26-35 | 293.0232 | 218.9768 |
| 36-45 | 266.6969 | 199.3031 |
| 46-55 | 222.0566 | 165.9434 |
| Over 55 | 120.1853 | 89.8147 |
Deliverable: Word Document
