Read the followlng scenarlo, then answer questlons #18-19 {2 questions 1: 5% each = 10%) Social psychologists have suggested that when people have frequent contact with other people from diverse ethnic and racial backgrounds in circumstances where they see each other as equalsI they will begin to trust one another more. In this way, diversity could lead to more tolerance. understanding. and social harmony. You want to test this theory. The following table shows data from the 2014 General Social Survey. It includes only those respondents who self-identify their race as 'whiief Respondents were asked about perceived favoritism in hinngwhether it is likely that a white person won't get a job or promotion while a less qualied Black person gets one instead.\" The table shows the cross-tabulation of responses to this question by the racial diversity of the respondent's place of work (whether other workers where the respondent works are 'mostly white' or 'mixed' [diverse] between whites and non-whites): Table 1: Cross-tabulation of perceived favoritism in hiring by racial composition of the place of work, among only white respondents (n=654} mostly white mixed (diverse) Total not likely 232 is likely 285 hard to say 107 Total 854 Source: (383 (2014), question "What do you think the chances are these days that a white person won't get a job or promotion while a less qualied Black person gets one instead?\" 18. What percentage of respondents in diverse workplaces answered that it 'is likely'? 19. How strong is the relationship between racial diversity in the workplace and perceived favoritism in hiring among white respondents? Provide a formal statistic that measures the strength of the relationship. Read the followlng scenarlo, then answer questlon #20 [5%) A company decides it will lay off employees who fall below a certain \"performance\" threshold on a standardized test. The test is called the 'New Online Tool E5 Automated lnfom'led Ranking' or NOTFAIR for short. The NOTFAIR test is designed to have a mean of 100 and a standard devlatlon of 20. To help prepare for the test, the company says employees can take a practice test called the 'Practice Online Simulator' or P05 test for short. The P05 test is designed to have a mean of 50 and a standard devlstlon of 5. The NOTFAIR and P05 tests both do a perfect job measuring an employee's actual performance. The company decides that anyone who scores less than a 75 on the NO'I'FAIR test will be laid off. 20. If you score 42 on the practice P05 test. and you perform equivalently well on the NOTFAIR test. would you be laid off? Provide a statistical justification for your answer. (hint: the question is not saying you scored a 42 on the NO TFAii-'l' test it is saying that you perform \"equivalently well\" on litre NOTFAIR test as you did on the P05 test] Comprehension (18%) Look at the following graphs, then answer the questions #21 - 22 (2 questions x 9% each = 18%) 21. In Figure 1, the values of the two variables have been standardized. Standardized values of (y) 1 05 Standardized values of (x) Identify the data point on the graph that contributes the LEAST influence in the calculation of the correlation coefficient between X and Y and explain why you selected this point: 22. Figure 2 shows the scatterplot between X and Y for four separate variables. For each plot (#1 - 4), explain whether it is appropriate or inappropriate to use correlation and regression to analyze these variables. 12 - (1) 12- (2) 12 4 16 12- (4) 10 1 12 (1): (2 ) : (3)