Consider the below scenario:-

In a famous social experiment, resumes were submitted to employers, some of which had names that are traditionally African American and others which had names that are traditionally white. Based on the results of that study, assume that out of 6,000 resumes sent out with white sounding names, the proportion receiving callbacks was 0.12. Also, assume that out of 6,000 sent out with African American names, the proportion was 0.04. The purpose of the study was to look for any discrimination in receiving callbacks

And answer the following question:-

a) What is the null hypothesis here?

b) What is the difference in means for the two groups?

c) Calculate the t-statistic necessary to test the null. Show the formula you use. What is the p-value of your test statistic?

d) Do you reject the null?

e) What do you conclude about discrimination in labor markets?