To investigate whether it helps to have a "white-sounding" rst name when looking for a job, the researchers sent 5,000 resumes in response to ads that appeared in magazines. The resumes were identical except that 2,500 of them had "white-sounding" rst names, such as Brett and Emily, whereas the other 2,500 had "black-sounding" names such as Tamika and Rasheed. Resumes of the rst type elicited 251 responses and resumes of the second type only 163 responses. [A use Do these data support the theory that the proportion receiving responses is greater for those resumes with "white-sounding rst" names? (Use a = 0.05. Use pwhite-sounding pblack-sounding') Find the test statistic. (Round your answer to two decimal places.) z= Find the Pvalue. (Round your answer to four decimal places.) P-value = State your conclusion. 0 Reject Ho. We have convincing evidence that the proportion eliciting responses is higher for "white-sounding" first names. O Fail to reject H0. We do not have convincing evidence that the proportion eliciting responses is higher for "whitesounding" first names. 0 Fail to reject H0. We have convincing evidence that the proportion eliciting responses is higher for "white-sounding" rst names. O Reject HO' We do not have convincing evidence that the proportion eliciting responses is higher for "white-sounding" rst names