The article A white name found to help in job search descirb

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?

Solution

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.