8 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 0.05 significance level. Determine the null and alternative hypotheses. O A. 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. O B. Ho: A white candidate is more likely to pass the test than a minority candidate. H₁ A white candidate is not more likely to pass the test than a minority candidate. O C. Ho: A white candidate is not more likely to pass the test than a minority candidate. H₁: 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: White and minority candidates do not have the same chance of passing the test. 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 not sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate OB. There is sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate. OC. There is not sufficient evidence to support the claim that the results are discriminatory. OD. There is sufficient evidence to support the claim that the results are discriminatory. White candidates Minority candidates Passed Failed 19 19 9 28

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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8
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 0.05 significance level.
Determine the null and alternative hypotheses.
O A. 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.
OB. Ho: A white candidate is more likely to pass the test than a minority candidate.
H₁: A white candidate is not more likely to pass the test than a minority candidate.
OC. Ho: A white candidate is not more likely to pass the test than a minority candidate.
H₁: 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: White and minority candidates do not have the same chance of passing the test.
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?
C
O A. There is not sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate.
O B. There is sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate.
O C. There is not sufficient evidence to support the claim that the results are discriminatory.
O D. There is sufficient evidence to support the claim that the results are discriminatory.
White
candidates
Minority
candidates.
Passed Failed O
19
19
9
28
Transcribed Image Text:8 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 0.05 significance level. Determine the null and alternative hypotheses. O A. 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. OB. Ho: A white candidate is more likely to pass the test than a minority candidate. H₁: A white candidate is not more likely to pass the test than a minority candidate. OC. Ho: A white candidate is not more likely to pass the test than a minority candidate. H₁: 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: White and minority candidates do not have the same chance of passing the test. 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? C O A. There is not sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate. O B. There is sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate. O C. There is not sufficient evidence to support the claim that the results are discriminatory. O D. There is sufficient evidence to support the claim that the results are discriminatory. White candidates Minority candidates. Passed Failed O 19 19 9 28
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