The article \"A \'white\' name found to help in job search\" descirbed an experi
ID: 3396612 • Letter: T
Question
The article "A 'white' name found to help in job search" descirbed an experiment to investigate if it helps to have a "white sounding" first name when looking for a job. Researchers sent 5000 resumes in response to ads that appeared in the Boston Globe and the Chicago Tribune. The resumes were identical except that 2500 of them had "white-sounding" first names, such as Brett and Emily, whereas the 2500 had "black sounding" names such as Tamika and Rasheed. Resumes of the first type elicited 250 responses and resumes of the second type showed only 167 responses. Do these data support the theory that the proportion receiving responses is greater for those resumes with "white sounding first" names?
Explanation / Answer
The number of resumes of "white sounding" i.e type 1 = 2500
The number of first type elicited x1 = 250 responses
the number of type = 2500; x2 = 167
P1= 250/2500; x2 = 167/2500 ; P= x1+x/n1+n = (250+167)/2500
Null hypothesis: The proportion receiving responses for both types are equal , P1=P2
Alternative hypothesis: The proportion receiving responses is greater for those resumes with white sounding first names i.e P1>P2
calculations:
Since P-value is very less, we reject the null hypothesis.
Hence conclude that there is sufficient evidence to support the theory that the proportion receiving responses is greater for those resumes with "white sounding first" names.
Data Hypothesized Difference 0 Level of Significance 0.05 Group 1 Number of Items of Interest 250 Sample Size 2500 Group 2 Number of Items of Interest 167 Sample Size 2500 Intermediate Calculations Group 1 Proportion 0.1 Group 2 Proportion 0.0668 Difference in Two Proportions 0.0332 Average Proportion 0.0834 Z Test Statistic 4.245414887 Upper-Tail Test Upper Critical Value 1.644853627 p-Value 1.09095E-05 Reject the null hypothesisRelated Questions
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