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9) A college admissions officer sampled 107 entering freshmen and found that 38 of them scored more than 510 on the math SAT. Round your final answers to 3 digits after the decimal point. (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (b) Construct a 95% confidence interval for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (c) According to the College Board, 40% of all students who took the math SAT in 2009 scored more than 510. The admissions officer believes that the proportion at her university is also 40%. Does the confidence interval contradict this belief? Explain.

9) A college admissions officer sampled 107 entering freshmen and found that 38 of them scored more than 510 on the math SAT. Round your final answers to 3 digits after the decimal point. (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (b) Construct a 95% confidence interval for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (c) According to the College Board, 40% of all students who took the math SAT in 2009 scored more than 510. The admissions officer believes that the proportion at her university is also 40%. Does the confidence interval contradict this belief? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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9) A college admissions officer sampled 107 entering freshmen and found that 38 of them scored more than 510 on the math SAT. Round your final answers to 3 digits after the decimal point. (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. 6) cons (b) Construct a 95% confidence interval for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (c) According to the College Board, 40% of all students who took the math SAT in 2009 scored more than 510. The admissions officer believes that the proportion at her university is also 40%. Does the confidence interval contradict this belief? Explain. 13
Transcribed Image Text:9) A college admissions officer sampled 107 entering freshmen and found that 38 of them scored more than 510 on the math SAT. Round your final answers to 3 digits after the decimal point. (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. 6) cons (b) Construct a 95% confidence interval for the proportion of all entering freshmen at this college who scored more than 510 on the math SAT. (c) According to the College Board, 40% of all students who took the math SAT in 2009 scored more than 510. The admissions officer believes that the proportion at her university is also 40%. Does the confidence interval contradict this belief? Explain. 13
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