A simple random sample of 200 third graders in a large school district was chosen to participate in an after-school program to improve reading skills. After completing the program, the children were tested, and 142 of them showed improvement in their reading skills a) Construct a 95% confidence interval for the proportion of third graders in the school district whose reading scores would improve after completing the program. Answer: 0.647< p< 0.773 b) Is it reasonable to conclude that more than 60% of the students would improve their reading scores after completing the program? Answer: Yes, please explain.

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
A simple random sample of 200 third graders in a large school district was chosen to participate
in an after-school program to improve reading skills. After completing the program, the children
were tested, and 142 of them showed improvement in their reading skills
a) Construct a 95% confidence interval for the proportion of third graders in the school district
whose reading scores would improve after completing the program.
Answer: 0.647< p< 0.773
b) Is it reasonable to conclude that more than 60% of the students would improve their
reading scores after completing the program? Answer: Yes, please explain.
Transcribed Image Text:A simple random sample of 200 third graders in a large school district was chosen to participate in an after-school program to improve reading skills. After completing the program, the children were tested, and 142 of them showed improvement in their reading skills a) Construct a 95% confidence interval for the proportion of third graders in the school district whose reading scores would improve after completing the program. Answer: 0.647< p< 0.773 b) Is it reasonable to conclude that more than 60% of the students would improve their reading scores after completing the program? Answer: Yes, please explain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
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