A statistics student wants to determine if a quiet room is a better study environment for students than a noisy environment. 151 students were recruited for an experiment. 75 students were randomly assigned to a quiet study environment while the other 76 were assigned to a noisy environment. Students in each group were given a short booklet from which to study and then were given a brief multiple- choice test. 64 of the students who studied in the quiet study environment passed the test, compared to 59 students who were in the noisy environment. Let P1 = the true proportion of all students like these who study in a quiet environment and pass the test and P2 = the true proportion of all students like these who study in a noisy environment and pass the test. The student wants to conduct a significance test of P1 – P2. What is the standardized test statistic and P-value?

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A statistics student wants to determine if a quiet room is a better study environment
for students than a noisy environment. 151 students were recruited for an
experiment. 75 students were randomly assigned to a quiet study environment while
the other 76 were assigned to a noisy environment. Students in each group were
given a short booklet from which to study and then were given a brief multiple-
choice test. 64 of the students who studied in the quiet study environment passed
the test, compared to 59 students who were in the noisy environment. Let pj =
the true proportion of all students like these who study in a quiet environment and
pass the test and p2 = the true proportion of all students like these who study in a
noisy environment and pass the test.
The student wants to conduct a significance test of P1 – P2. What is the
standardized test statistic and P-value?
Oz = 1. 22, and P-value = 0. 2234
z= 1. 22, and P-value = 0. 888
%3D
None of these are correct.
z = 0. 797, P-value = 0. 213
Oz = 1. 22, P-value = 0. 117
Transcribed Image Text:A statistics student wants to determine if a quiet room is a better study environment for students than a noisy environment. 151 students were recruited for an experiment. 75 students were randomly assigned to a quiet study environment while the other 76 were assigned to a noisy environment. Students in each group were given a short booklet from which to study and then were given a brief multiple- choice test. 64 of the students who studied in the quiet study environment passed the test, compared to 59 students who were in the noisy environment. Let pj = the true proportion of all students like these who study in a quiet environment and pass the test and p2 = the true proportion of all students like these who study in a noisy environment and pass the test. The student wants to conduct a significance test of P1 – P2. What is the standardized test statistic and P-value? Oz = 1. 22, and P-value = 0. 2234 z= 1. 22, and P-value = 0. 888 %3D None of these are correct. z = 0. 797, P-value = 0. 213 Oz = 1. 22, P-value = 0. 117
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