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.
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54d51a89-2b22-4d1a-badb-1ff0aaf04f80%2F37884b84-839b-4389-b2de-32a788db3ffe%2Fjg182fb_processed.png&w=3840&q=75)
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.
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