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. 52 of the students who studied in the quiet study environment passed the test, compared to 43 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. Which of the following are correct for conducting a significance test of P1 – P2? 1. Ho: P1 – P2 = 0 II. Ha: P1 – P2 7 0 III. Both the Random and Large Counts conditions are met.

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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. 52 of the students who studied in the quiet study environment passed
the test, compared to 43 students who were in the noisy environment. Let Pi =
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.
Which of the following are correct for conducting a significance test of P1 – P2?
1. Но: Р1 — Р2 — 0
II. Ha: P1 – P2 + 0
II. Both the Random and Large Counts conditions are met.
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. 52 of the students who studied in the quiet study environment passed the test, compared to 43 students who were in the noisy environment. Let Pi = 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. Which of the following are correct for conducting a significance test of P1 – P2? 1. Но: Р1 — Р2 — 0 II. Ha: P1 – P2 + 0 II. Both the Random and Large Counts conditions are met.
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