You are the School Resources Officer for a large metropolitan high school. Recen

Question

You are the School Resources Officer for a large metropolitan high school. Recently, a controversy has emerged regarding arrest rates for youth that attend the school. The issue is related to the current national controversy called Disproportionate Minority Contact. Essentially, this controversy alleges that criminal justice practitioners arrest a higher proportion of minority individuals.

You have been asked to analyze the arrests you and your colleagues make at the school. You have a list of all of the students that were brought to your attention last year that could have been arrested, totaling about 400 students, and you know their races. Of these 400 students, 150 were arrested (this includes arrests at school sponsored events like football games).  

So, you have two variables. First, you have the race of the students (Black, Hispanic or Caucasian). Second, you have whether they were arrested or not (yes or no). In order to be sure that the differences in arrest rates are not due to chance (i.e. statistically significant) you want to use a statistical model for analyzing these data. Of the statistical models we have discussed in this learning module (Chi-square, t-score, F-ratio*) which would be the most appropriate for these data?

*F-ratio is also referred to as Analysis of Variance or ANOVA.

Explanation / Answer

Ans:

For above data,Chi square test of independence is most appropriate,as above data have categorical variables.

We use Chi square test for categorical variables.

The contigency table for above data will be:

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