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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Related questions

Concept explainers

Question

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.