Homework SoursePassed Failed Results from a civil servant exam are shown i
Passed | Failed Results from a civil servant exam are shown in the table to the right. White Is there sufficient evidence to support the claim that the results from candidates the test are discriminatory? Use a 0.01 significance level. 19 19 Minority candidates 9 Detemine the null and altemative hypotheses O A. Ho. A white candidate is not more likely to pass the test than a minority candidate. H, A white candidateis more Ikelyto passthe test than a minority candidate H1: A white candidate is more likely to pass the test than a minority candidate. Ho: White and minority candidates do not have the same chance of passing the test. H1 White and minority candidates have the same chance of passing the test. B. C. Ho. A white candidate is more likely to pass the test than a minority candidate. O D. Ho: White and minority candidates have the same chance of passing the test. H1: A white candidate is not more likely to pass the test than a minority candidate. Ho. White and minority candidates have the same chance of passing the test. 0 D. H, White and minority canddates not have the same chance of passing the test Determine the test statistic X=| Round to three decimal places as needed ) | (Round to three decimal places as needed.) 
Solution
The results are discriminatory if the WHITE candidates have a BETTER chance to pass. [H1]
Thus, the answer is OPTION A. [ANSWER]
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CHI TEST OF INDEPENDENCE
Doing an Expected Value Chart,
15.42028986 22.57971014
12.57971014 18.42028986
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 3.112832977 [ANSWER, ITEM 2]
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With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 2
b = 2
df = 1
Thus, the critical value is
significance level = 0.01
Also, the p value is
P = 0.077677741 [ANSWER, ITEM 3]
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As P > 0.01, THERE IS NOT SUFFICIENT EVIDENCE. [OPTION B, ANSWER]
