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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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