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Consider the following video that describes how this test is administered by the US Army. Study Outcome X 24 Reference Distribution IT = B C A Label: # Native-American Paroled 2. Identify the following quantities regarding this investigation. (2 pts each) a. The value of A, i.e. the largest possible value: b. The value of B, i.e. the proportion that sets the reference distribution in the correct position: c. The value of C, i.e. the expected value: The reference distribution will be constructed under the "all-things-fair" or no discrimmation situation. Link to StatKey App: http://www.lock5stat.com/StatKey/randomization 1 cat/randomization 1 cat.html Edit data X Define Null Hypothesis Please select values for count and sample size. Enter the null hypothesis as a decimal between 0.0 and 1.0. count: Null Hypothesis sample size: OK Ok (or hit Enter)Consider data presented by Sugrue and Fairley (1983) regarding the Greenholtz vs. Nebraska Penal and Correctional Complex court case. Source: Sugrue, T. and Fairley, W. (1983). "A Case of Unexamined Assumptions: The Use and Misuse of the Statistical Analysis of Castaneda / Hazelwood in Discrimination Litigation". Boston College Law Review, Vol 24, Issue 4, Number 4. The number of persons paroled by Race/Ethnicity in the State of Nebraska over a specified time period. For this assignment, we will consider the fairness regarding the rate in which Native-Americans were paroled. Elgible for Number Race/Ethnicity Parole Paroled White 590 358 African-American 235 148 Native-American 59 24 Mexican-American 18 5 Research Question: Is there enough statistical evidence to suggest that too few Native-Americas were paroled against an "all things fair" (i.e. no discrimination), situation?1. To start with, let us consider the "all things fair\" or no discimination situation. Under a no discrimination situation, the race/ethnicity does not influence the rate of being paroled. mm'm' Parole W 590 358 235 148 59 24 18 5 Total 902 535 What is the rate or chance of being paroled in a no discrimiation situation? Show the simple math in how you obtained this value? (2 pts) The rate of parole in a 'no discrimination situation' can be obtained using a simple probability formula: n(A) = desired outcomes = total parolees n(S) = total outcomes = total eligible P=n(A)(S) = 5351902 = 0.5931 or 59.31% The chance of being paroled in a 'no-discrimination situation' is 59.31%. 3. Specify the following. (1 pt each) a. What value should be specified in the sample size box? b. What value should be specified in the Null Hypothesis box