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1. According to the American Mathematical Society’s survey of recently-graduated PhD’s in Mathematics, 47% were white,...

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

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