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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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.
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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