(1) Public health scholars have noted a relationship between nancial well-being follow-ing catastrophe and rates of depression. Weber, Kenny, and Bratton (2010) examine this relationship in the context of the BP oil spill. During the spill, they interviewed n = 1; 156 residents along the Louisiana coast. The survey included two questions, \Have you been nanciallyaected by the oil spill?" which is coded 1=Yes, 0=No; they also included a question on depression: \How often have you felt depressed?" which is coded 1=often, 0=never/rarely. Below is the cross-tab displaying the relationship between these variables.
Table 1: Question 4 Data
|
|
Financially A ectedNo
|
Financially A ectedYes
|
|
DepressedNo
|
162
|
470
|
|
DepressedYes
|
34
|
490
|
(a) Calculate the marginals for the rows and columns.
(b) Calculate the odds of being depressed if one is nanciallya ected.
(c) Test the hypothesis ( = 0:05) that depression and being nancially a ected are un-related.
(d) Calculate the relationship between the variables using Yule's Q.
(e) Calculate the odds of being a depressed if one is not nanciallya ected.
(f) Find and interpret the odds ratio.