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(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.
Question: (a) Suppose that 100 tires made by Bridgestone last on average 21,819 miles with a standard deviation of 1,295 miles. Test the null hypothesis µ = 22, 000 miles again
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