In a recent survey conducted, a random sample of adults 18 years of age or older living in a
certain country were asked their reaction to the word socialism. In addition, the individuals were
asked to disclose which political party they most associate with. Results of the survey are given
in the table. Complete parts (a) through (c) below.
_ Democrats Independents Republicans
Positive 61 152 235
Negative 350 401 276
a) Does the evidence suggest individuals within each political affiliation react differently to the
word "socialism"? Use the
=0.05
level of significance.
State the hypotheses.
A.
H0:
Political party and reaction are dependent.
H1:
Political party and reaction are independent.
B.
H0:
OD=ED
and
OR=ER
and
OI=EI
H1:
At least one mean is different from what is expected.
C.
H0:
pD=pR=pI
H1:
At least one of the proportions is different from the others.
D.
H0:
Political party and reaction are independent.
H1:
Political party and reaction are dependent.
Part 2
Compute the P-value.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
Part 3
Make the proper conclusion. Choose the correct answer below.
A.
No,
there
is no
evidence because the P-value is
less than
.
B.
Yes,
there
is
evidence because the P-value is
greater than
.
C.
Yes,
there
is
evidence because the P-value is
less than
.
D.
No,
there
is no
evidence because the P-value is
greater than
.
Part 4
(b) Construct a conditional distribution of reaction by political party.
Democrats
Independents
Republicans
Positive
enter your response here
enter your response here
enter your response here
Negative
enter your response here
enter your response here
enter your response here
(Round to four decimal places as needed.)
Part 5
(c) Write a summary about the "partisan divide" regarding the reaction to the word "socialism."
A.
Democrats
and
Independents
are far more likely to react negatively to the word "socialism" than
Republicans
are. All groups had a majority negative reaction.
B.
Democrats
and
Republicans
are far more likely to react negatively to the word "socialism" than
Independents
are. All groups had a majority negative reaction.
C.
Republicans
are far more likely to react negatively to the word "socialism" than
Independents
and
Democrats
are. All groups had a majority negative reaction.
D.
Republicans,
Independents,
and
Democrats
all had a majority negative reaction. The proportions are likely to be equal.
Democrats
Independents
Republicans
Positive
enter your response here
enter your response here
enter your response here
Negative
enter your response here
enter your response here
enter your response here.
In a recent survey conducted, a random sample of adults 18 years of .pdf
1. In a recent survey conducted, a random sample of adults 18 years of age or older living in a
certain country were asked their reaction to the word socialism. In addition, the individuals were
asked to disclose which political party they most associate with. Results of the survey are given
in the table. Complete parts (a) through (c) below.
_ Democrats Independents Republicans
Positive 61 152 235
Negative 350 401 276
a) Does the evidence suggest individuals within each political affiliation react differently to the
word "socialism"? Use the
=0.05
level of significance.
State the hypotheses.
A.
H0:
Political party and reaction are dependent.
H1:
Political party and reaction are independent.
B.
H0:
OD=ED
and
OR=ER
and
OI=EI
H1:
At least one mean is different from what is expected.
C.
H0:
pD=pR=pI
H1:
At least one of the proportions is different from the others.
2. D.
H0:
Political party and reaction are independent.
H1:
Political party and reaction are dependent.
Part 2
Compute the P-value.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
Part 3
Make the proper conclusion. Choose the correct answer below.
A.
No,
there
is no
evidence because the P-value is
less than
.
B.
Yes,
there
is
evidence because the P-value is
greater than
.
C.
Yes,
there
is
evidence because the P-value is
less than
.
3. D.
No,
there
is no
evidence because the P-value is
greater than
.
Part 4
(b) Construct a conditional distribution of reaction by political party.
Democrats
Independents
Republicans
Positive
enter your response here
enter your response here
enter your response here
Negative
enter your response here
enter your response here
enter your response here
(Round to four decimal places as needed.)
Part 5
(c) Write a summary about the "partisan divide" regarding the reaction to the word "socialism."
A.
Democrats
and
Independents
are far more likely to react negatively to the word "socialism" than
Republicans
are. All groups had a majority negative reaction.
B.
Democrats
and
4. Republicans
are far more likely to react negatively to the word "socialism" than
Independents
are. All groups had a majority negative reaction.
C.
Republicans
are far more likely to react negatively to the word "socialism" than
Independents
and
Democrats
are. All groups had a majority negative reaction.
D.
Republicans,
Independents,
and
Democrats
all had a majority negative reaction. The proportions are likely to be equal.
Democrats
Independents
Republicans
Positive
enter your response here
enter your response here
enter your response here
Negative
enter your response here
enter your response here
enter your response here
