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6. Why Statistical Reasoning Is Important for a Criminal Justice Student and Professional Developed in collaboration with Teresa Carlo, Professor of Criminal Justice This topic is discussed in CJ 200 and others (Conflict view of Injustice). The table below shows the racial distribution for Washington State. The data is from the WA State Government, Office of Financial Management. These percentages include those of Hispanic origin. In theory, the racial distribution of prisoners in WA state prisons should be consistent with this distribution. To determine if this is the case, a sample of prisoners can be taken. The random variable that will be measured is race. The hypotheses to be tested are: HO: The racial distribution in WA prisons is the same as the racial distribution of the WA population H1: The racial distribution in WA prisons is not the same as the racial distribution of the WA population. Use a 0.05 level of significance. If the data are not significant then we will consider that society and justice are blind to race. If the data are significant, then we will seek a solution to this injustice. There are 12 prison facilities in WA of which eight are major prisons and four are minimum-security. There is the possibility that the racial distribution varies based on location and security level and because of this, random samples will be taken from each prison. 6a. What type of sampling method is being used? SRS Systematic Stratified Cluster 6b. One prison has 2083 prisoners. If thirty prisoners will be selected from this prison, what are the first three random numbers that would be selected if the calculator were seeded with the number 13 ?
Suppose the entire sample included prisoners from all the prisons. In total, 301 prisoners were selected. The number of prisoners of each race in this sample is shown in the table below. (This distribution is based on the actual distribution in WA prisons.) 6d. Make a double bar graph that shows a comparison between the observed and expected number of prisoners for each race. No file chosen 6f. At the 0.05 level of significance, the racial distribution of prisoners is is not significantly different than the racial distribution of the WA population $(?_{2}=,p$-value $=??,df=$ ?. $6g$. The data in this problem is based on actual data. Explain the conclusion in English as it applies to our society. To understand this better, look at the contribution each race made to the chi square total (see the right column). Larger numbers indicate a greater difference between what is happening and what is expected. What do vou think is the (societal) reason for this result?

ANSWER:-6b)(fo?fe)2feStratified 6d)Categories Observed Expected (f_{o}-f_{e})^{2}/f_{e}white216301*0.773 = 231.6731.0603Asian10301*0.072=21.6726.2862B