Explanation Given info: The research is based sending 500 resumes in response to job ads. Among 5,000 resumes, 2,500 resumes end with “white sounding” and 2,500 resumes end with “black sounding”. 250 responses of 2,500 “white sounding” resumes were elicited and 167 responses of 2,500 “black sounding” were elicited. Calculation: Here, p 1 denotes proportion of responses for resume with a “white” name and p 2 denotes proportion of responses for resume with a “black” name, x 1 denotes the number of responses for resume with a “white” name and x 2 denotes the number of responses for resume with a “black” name. The sample size corresponding to the white sounding resume is m and the sample size corresponding to the black sounding name is n . Assume that the level of significance is 0.05. The test hypotheses are given below: Null hypothesis: H 0 : p 1 − p 2 = 0 That is, the true proportion of responses for resume with a “white” name is same as the true proportion of responses for resume with a “black” name. Alternative hypothesis: H a : p 1 > p 2 That is, the true proportion of responses for resume with a “white” name is greater the true proportion of responses for resume with a “black” name. The proportion of responses for resume with a “white” nameis obtained below: p 1 = x 1 m = 250 2 , 500 = 0.10 The proportion of responses for resume with a “black” nameis obtained below: p 2 = x 2 n = 167 2 , 500 = 0.0668 Assumption for inference: The sample should be selected at random and independent. Verify the condition: m p ^ 1 , m q ^ 1 , n p ^ 2 , n q ^ 2

Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th

9th Edition

ISBN: 9798214004020

Author: Jay L. Devore

Publisher: Cengage Learning US

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Chapter 9, Problem 91SE

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Check whether the data suggest that a resume with a “black” name is less likely to result in a response than the resume with “white” name at level of significance of 0.05.

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Chapter 9, Problem 90SE

Chapter 9, Problem 92SE

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Chapter 9 Solutions

Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th

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Check whether the data suggest that a resume with a “black” name is less likely to result in a response than the resume with “white” name at level of significance of 0.05.

Solution Summary: The author compares the responses for resumes with a "black" name with those with "white" names.

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Check whether the data suggest that a resume with a “black” name is less likely to result in a response than the resume with “white” name at level of significance of 0.05.

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Chapter 9 Solutions