SAT scores: A college admissions officer sampled 120 entering freshmen and found that 42 of them scored more than 550 on the math SAT.              (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT.             (b) Construct a 98% confidence interval for the proportion of all entering freshmen at this college who scored more than 550 on the math SAT.            (c) According to the College Board, 39% of all students who took the math SAT in 2009 scored more than 550. The admissions officer believes that the proportion at her university is also 39%. Does the confidence interval contradict this belief? Explain.

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