Use the data and information provided below to answer questions 3(a) - (b): 3. An industrial-organizational psychologist was called upon to serve as an expert witness for the defendant in a court case involving alleged discriminatory hiring practices at a large healthcare organization. [35 points total] a) The plaintiff side presented the case that male applicants are being discriminated against when applying for nursing positions. The table below displays company data on the number of male and female applicants who were hired as nurses in the past 5 years (n = 200). The plaintiff argues that if there was no discrimination, one would expect an even proportion of males and females hired. Based on this argument, does the data indicate that the number of males and females hired is significantly different than would be expected if the proportion of males and females hired is expected to be equal? Test with a = .01. [15 points] Male 65 Female 135 b) The psychologist on the defendant side argued that the previous statistical test was inappropriate for the situation because an uneven number of males and females applied to the nursing positions. In other words, it was wrong to expect that the proportion of males and females hired would be equal in the first place. Instead of a test for goodness of fit based on faulty assumptions, a test for independence would be more appropriate. The table below displays the full data with more information than the one provided previously. Does the data indicate a significant relationship between sex and hiring decisions? Test with a = .01. [20 points] Male Female Selection Outcome Hired 65 135 200 Not Hired 85 215 300 150 350 n = 500