Passed Failed White 14 Results from a civil servant exam are shown in the table
ID: 3325653 • Letter: P
Question
Passed Failed White 14 Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.01 significance level. 01 significance level. adidates16 Minority candidates Determine the test statistic. X2- (Round to three decimal places as needed.) Determine the P-value of the test statistic P-value . (Round to four decimal places as needed.) Is there sufficient evidence to support the claim that the results from the test are discriminatory? O A. There is sufficient evidence to support the claim that the results are discriminatory. 0 B. There is not sufficient evidence to support the claim that the results are discriminatory. C. D. There is not sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate. There is sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate.Explanation / Answer
The statistical software output for this problem is:
Contingency table results:
Rows: var2
Columns: None
Chi-Square test:
Hence,
Test statistic = 5.284
P - value = 0.0215
Conclusion: Option B is correct.
Passed Failed Total White 16 14 30 Minority 7 22 29 Total 23 36 59