Imagine a separate study, using the same set of variables. Table 2 Middle Class
ID: 2921719 • Letter: I
Question
Imagine a separate study, using the same set of variables.
Table 2
Middle Class
Race
Victimization
White
Non-white
Total
Yes
69
160
229
No
253
234
487
Total
322
394
716
Table 3
Working Class
Race
Victimization
White
Non-white
Total
Yes
7
52
59
No
41
38
79
Total
48
90
138
Which class group has the higher percentage of respondents indicating that they have been a victim of crime in the past year?
For each class, test they hypothesis that race and reported victimization are independent (alpha = .01).
Please show clear steps with work and legibly
Table 2
Middle Class
Race
Victimization
White
Non-white
Total
Yes
69
160
229
No
253
234
487
Total
322
394
716
Explanation / Answer
Q.1 Which class group has the higher percentage of respondents indicating that they have been a victim of crime in the past year?
Middle Class: Percentage of respodents indicating that they have been a victime of crime in past year = 229/716 = 0.32
Working Class: Percentage of respodents indicating that they have been a victime of crime in past year = 59/138 = 0.428
so working class has higher percentage of percentage of victims.
QUuestion 2 : For each class, test they hypothesis that race and reported victimization are independent (alpha = .01).
Answer : FOr Middle Class :
Null Hypothesis : H0 : Race and reported Victimization are independent.
Alternative Hypothesis : Ha : Race and reported Victimization are dependent.
Observed Value
Expected Value for White and reported Yes = (229 * 322)/ 716 = 103 so below is the expected table
X2 = (Oi - Ei )2 /Ei
= (69 - 103)2 / 103 + (160 - 126)2 / 126 + (253 - 219)2 /219 + (234 - 268)2 /268 = 29.97
Here for alpha = 0.01 and dF = 1
x2 crt = 6.64
so X2 > x2 crt
so, we shall reject the null hypothesis and can say that Race and reported Victimization are dependent for middle class.
For Working Class :
Null Hypothesis : H0 : Race and reported Victimization are independent.
Alternative Hypothesis : Ha : Race and reported Victimization are dependent.
Observed Table
Expected Table
X2 = (Oi - Ei )2 /Ei
= (7 - 20.5)2 / 20.5 + (52 - 38.5)2 / 38.5 + (41 - 27.5)2 /27.5+ (38 - 51.5)2 /268 = 23.86
Here for alpha = 0.01 and dF = 1
x2 crt = 6.64
so X2 > x2 crt
so, we shall reject the null hypothesis and can say that Race and reported Victimization are dependent for working class.
Observed Middle Class Race Victimization White Non-white Total Yes 69 160 229 No 253 234 487 Total 322 394 716