Part 1 of 3 (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT. Round the answer to at least three decimal places. The point estimate for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT is 0.407 Part 2 of 3 (b) Construct a 99.9% confidence interval for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT. Round the answer to at least three decimal places. A 99.9% confidence interval for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT is 0.258

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

Please help with

SAT Scores: A college admissions officer sampled 118 entering freshmen and found that 48 of them scored more than 575 on the
math SAT.
Part 1 of 3
(a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 575 on the math
SAT. Round the answer to at least three decimal places.
The point estimate for the proportion of all entering freshmen at this college who scored more
than 575 on the math SAT is 0.407
Part 2 of 3
(b) Construct a 99.9% confidence interval for the proportion of all entering freshmen at this college who scored more than
575 on the math SAT. Round the answer to at least three decimal places.
A 99.9% confidence interval for the proportion of all entering freshmen at this college who
scored more than 575 on the math SAT is 0.258 <p<0556
Part: 2/3
Part 3 of 3
(c) According to the College Board, 36% of all students who took the math SAT in 2009 scored more than 575. The
admissions officer believes that the proportion at her university is also 36%. Does the confidence interval contradict this
belief? Explain.
v contained in the confidence
because the value 0.36 is
No
interval.
Transcribed Image Text:SAT Scores: A college admissions officer sampled 118 entering freshmen and found that 48 of them scored more than 575 on the math SAT. Part 1 of 3 (a) Find a point estimate for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT. Round the answer to at least three decimal places. The point estimate for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT is 0.407 Part 2 of 3 (b) Construct a 99.9% confidence interval for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT. Round the answer to at least three decimal places. A 99.9% confidence interval for the proportion of all entering freshmen at this college who scored more than 575 on the math SAT is 0.258 <p<0556 Part: 2/3 Part 3 of 3 (c) According to the College Board, 36% of all students who took the math SAT in 2009 scored more than 575. The admissions officer believes that the proportion at her university is also 36%. Does the confidence interval contradict this belief? Explain. v contained in the confidence because the value 0.36 is No interval.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman