1. According to the American Mathematical Society’s survey ofrecently-graduated PhD’s in Mathematics, 47% were white, 42% wereAsian, 4% were Hispanic or Latino, 3% were Black or AfricanAmerican, and 4% were another race. Among job applicants for anentry-level math professorship, 101 were white, 87 were Asian, 6were Hispanic or Latino, 4 were Black or African American, and 2were another race. Is there a significant difference between theracial diversity of the applicants versus the racial diversity ofrecent math PhD graduates, at ? = 0.05? Show all calculations byhand.