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 I. На: Рі — Р2 70 | III. Both the Random and Large Counts conditions are met. Il and III Il only I and III O1, II, and III I only

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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 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. Но: Рі — Р2 — 0
II. Ha: Pi – P2 + 0
II. Both the Random and Large Counts conditions are met.
Il and III
Il only
OI and III
O I, II, and III
I only
I and II
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 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. Но: Рі — Р2 — 0 II. Ha: Pi – P2 + 0 II. Both the Random and Large Counts conditions are met. Il and III Il only OI and III O I, II, and III I only I and II
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