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. Passed Failed White candidates: 20 13 Minority candidates: 11 22 (a) Determine the null and alternative hypotheses. A. H0: 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. B. H0: 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. C. H0: 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. D. H0: 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. (b) Determine the test statistic. χ2= _ (Round to three decimal places as needed.) (c) Determine the P-value of the test statistic. P-value= _ (Round to four decimal places as needed.) (d) Is there sufficient evidence to support the claim that the results from the test are discriminatory

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

	Passed	Failed
White candidates:	20	13
Minority candidates:	11	22

(a) Determine the null and alternative hypotheses.

H0: 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.

H0: 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.

H0: 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.

H0: 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.

(b) Determine the test statistic.

χ2= ___

(Round to three decimal places as needed.)

P-value= ___

(Round to four decimal places as needed.)

(d) Is there sufficient evidence to support the claim that the results from the test are discriminatory?

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.

B. There is not sufficient evidence to support the claim that the results are discriminatory.

C. There is sufficient evidence to support the claim that the results are discriminatory.

D. There is sufficient evidence to reject the claim that a white candidate is more likely to pass the test than a minority candidate.

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