Identify the test statistic.  Identify the p-value.  Is there sufficient evidence to support the claim?

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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Identify the test statistic. 

Identify the p-value. 

Is there sufficient evidence to support the claim? 

Passed
Failed
White
19
17
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.
candidates
Minority
candidates
7
Determine the null and alternative hypotheses.
A. Ho: A white candidate is more likely to pass the test than a minority candidate.
H,: A white candidate is not more likely to pass the test than a minority candidate.
B. Ho: White and minority candidates do not have the same chance of passing the test.
H,: White and minority candidates have the same chance of passing the test.
C. Ho: White and minority candidates have the same chance of passing the test.
H4:
: White and minority candidates do not have the same chance of passing the test.
D. Ho: A white candidate is not more likely to pass the test than a minority candidate.
H,: A white candidate is more likely to pass the test than a minority candidate.
Determine the test statistic.
x² =
(Round to three decimal places as needed.)
25
Transcribed Image Text:Passed Failed White 19 17 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. candidates Minority candidates 7 Determine the null and alternative hypotheses. A. Ho: A white candidate is more likely to pass the test than a minority candidate. H,: A white candidate is not more likely to pass the test than a minority candidate. B. Ho: White and minority candidates do not have the same chance of passing the test. H,: White and minority candidates have the same chance of passing the test. C. Ho: White and minority candidates have the same chance of passing the test. H4: : White and minority candidates do not have the same chance of passing the test. D. Ho: A white candidate is not more likely to pass the test than a minority candidate. H,: A white candidate is more likely to pass the test than a minority candidate. Determine the test statistic. x² = (Round to three decimal places as needed.) 25
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