5:00 PM gotoclass.trecampos org Suppose you surveyed 30 people and asked them wh

Question

5:00 PM gotoclass.trecampos org Suppose you surveyed 30 people and asked them whether they are white (W) or nonwhite (N), and how many traumas (serious accidents, rapes, or crimes) they have experienced in the past year. You also asked them to tell you whether they perceive themselves as being in the upper, middle, working, or lower class. Your survey resulted in the raw data presented in the table below a. Identify the level of measurement for each variable. 1. b. Construct raw frequency tables for race. c. What proportion of the 30 individuals is nonwhite? What percentage is white? Race Class Trauma Race Class Trauma Note Race: W, white, N, nonwhite, Class: L, lower class; M, middle class; U, upper class; W, working class

Explanation / Answer

3. a. The variable trauma is categorized into serious accidents, rapes or crimes and there have been ranking of these categories with respect to each other. The distance between attributes has equal meaning (that is distance from 0-1 is same as distance from 1-2). Moreover, there exists absolute zero. Thus, the level of measurement for trauma variable is ratio. Apart from counting numbers in each categories and comparing sizes of categories, the variable can be judged is terms of greater than or less than, and all mathemetical operations can be performed on them like addition, subtration, multiplication and division.

b. Construct a frequency distribution of trauma variable.

The proportion of people suffering no trauma is:15/30=0.5 and proportion of people suffering 1 trauma is:11/30=0.37.

Since, 0.5>0.37, people are more likely to experience no trauma than 1 trauma.

c. Proportion of people who experience 1 trauma is:0.37 and proportion of people who have experienced 2 traumas is: 4/30=0.13. Assume experienced 1 trauma and experienced 2 traumas are disjoint events. Therefore, the proportion of people who experienced 1 or more trauma is: P(1 trauma)+P(2 trauma) [for two disjoint events, P(A or B)=P(A)+P(B)]

=0.37+0.13=0.5

Trauma Frequency 0 15 1 11 2 4 Toatl 30

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