A new reading program may reduce the number of elementar school students who read below grade level. The company th developed this program supplied materials and teacher trainin for a large-scale test involving nearly 8,400 children in severa different school districts. Statistical analysis of the results showed that the percentage of students who did not meet the grade-level goal was reduced from 14.7% to 14%. The hypothesis that the new reading program produced no improvement was rejected with a P-value of 0.026. Complete parts a) and b) below. ... proportion of 14.7% (or more) of students failing the te by natural sampling variation if 14% is the true population value. OC. There is only a 2.6% chance of seeing a sample proportion of 14% (or less) of students failing the test natural sampling variation if 14.7% is the true population value. OD. There is only a 97.4% chance of seeing a sample proportion of 14% (or less) of students failing the test natural sampling variation if 14.7% is the true population value. b) Even though this reading program has been shown to be significantly better, why might you not recommend that your la school adopt it?
A new reading program may reduce the number of elementar school students who read below grade level. The company th developed this program supplied materials and teacher trainin for a large-scale test involving nearly 8,400 children in severa different school districts. Statistical analysis of the results showed that the percentage of students who did not meet the grade-level goal was reduced from 14.7% to 14%. The hypothesis that the new reading program produced no improvement was rejected with a P-value of 0.026. Complete parts a) and b) below. ... proportion of 14.7% (or more) of students failing the te by natural sampling variation if 14% is the true population value. OC. There is only a 2.6% chance of seeing a sample proportion of 14% (or less) of students failing the test natural sampling variation if 14.7% is the true population value. OD. There is only a 97.4% chance of seeing a sample proportion of 14% (or less) of students failing the test natural sampling variation if 14.7% is the true population value. b) Even though this reading program has been shown to be significantly better, why might you not recommend that your la school adopt it?
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 new reading program may reduce the number of elementary
school students who read below grade level. The company that
developed this program supplied materials and teacher training
for a large-scale test involving nearly 8,400 children in several
different school districts. Statistical analysis of the results
showed that the percentage of students who did not meet the
grade-level goal was reduced from 14.7% to 14%. The
hypothesis that the new reading program produced no
improvement was rejected with a P-value of 0.026. Complete
parts a) and b) below.
proportion of 14.7% (or more) of students failing the test
by natural sampling variation if 14% is the true
population value.
OC. There is only a 2.6% chance of seeing a sample
proportion of 14% (or less) of students failing the test by
natural sampling variation if 14.7% is the true
population value.
D. There is only a 97.4% chance of seeing a sample
proportion of 14% (or less) of students failing the test by
natural sampling variation if 14.7% is the true
population value.
b) Even though this reading program has been shown to be
significantly better, why might you not recommend that your local
school adopt it?
A. Under the old methods, 1,176 students would be
expected to fail. With the new program, 1,235 failed.
The school would not want to adopt a new reading
program that increases the number of students who fail.
B. You might not recommend that your school adopt the
new program because the sample was not chosen at
random, thus compromising the results.
OC. You might not recommend that your school adopt the
new program because the sample size of the test was
not large enough to come to a decision.
D. Under the old methods, 1,235 students would be
expected to fail. With the new program, 1,176 failed.
This is only a decrease of 59 students. It would depend
on the costs of switching to the new program.

Transcribed Image Text:A new reading program may reduce the number of elementary
school students who read below grade level. The company that
developed this program supplied materials and teacher training
for a large-scale test involving nearly 8,400 children in several
different school districts. Statistical analysis of the results
showed that the percentage of students who did not meet the
grade-level goal was reduced from 14.7% to 14%. The
hypothesis that the new reading program produced no
improvement was rejected with a P-value of 0.026. Complete
parts a) and b) below.
a) Explain what the P-value means in this context. Choose the
correct answer below.
OA. There is a 97.4% chance of seeing a sample proportion
of 14.7% (or more) of students failing the test by natural
sampling variation if 14% is the true population value.
B. There is only a 2.6% chance of seeing a sample
proportion of 14.7% (or more) of students failing the test
by natural sampling variation if 14% is the true
population value.
OC. There is only a 2.6% chance of seeing a sample
proportion of 14% (or less) of students failing the test by
natural sampling variation if 14.7% is the true
population value.
D. There is only a 97.4% chance of seeing a sample
proportion of 14% (or less) of students failing the test by
natural sampling variation if 14.7% is the true
population value.
b) Even though this reading program has been shown to be
significantly better, why might you not recommend that your local
school adopt it?
OA. Under the old methods, 1,176 students would be
expected to fail. With the new program, 1,235 failed.
The school would not want to adopt a new reading
program that increases the number of students who fail.
B. You might not recommend that your school adopt the
new program because the sample was not chosen at
random, thus compromising the results.
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