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[See Solution] A sample of 140 assistant professors found that 95 made more than $35,000 per year, while a sample of 170 associate professors found that

Question: A sample of 140 assistant professors found that 95 made more than $35,000 per year, while a sample of 170 associate professors found that 140 made more than $35,000 per year.  Using a 0.01 level of significance, is there a significant difference between the proportion of assistant professors who make more than $35,000 per year and the proportion of associate professors who make more than $35,000 per year?

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