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
Price: $28.5
Solution: The downloadable solution consists of 21 pages, 750 words and 6 charts.
Deliverable: Word Document


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