In​ randomized, double-blind clinical trials of a new​ vaccine, monkeys were randomly divided into two groups. Subjects

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In​ randomized, double-blind clinical trials of a
new​ vaccine,
monkeys
were randomly divided into two groups. Subjects in group 1
received the new vaccine while subjects in group 2 received a
control vaccine. After the second​ dose,
106
of
667
subjects in the experimental group​ (group 1)
experienced
fever
as a side effect. After the second​ dose,
63
of
548
of the subjects in the control group​ (group 2)
experienced
fever
as a side effect. Does the evidence suggest that a higher
proportion of subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of​ significance?
Verify the model requirements. Select all that apply.
A.
The data come from a population that is normally
distributed.
B.
The samples are independent.
C.
The sample size is less than​ 5% of the population size for
each sample.
D.
The sample size is more than​ 5% of the population size for
each sample.
E.
n1p11−p1≥10
and n2p21−p2≥10
F.
The samples are dependent.
Part 2
Determine the null and alternative hypotheses.
H0​:
p1
▼
greater than>
not equals≠
less than<
equals=
p2
H1​:
p1
▼
less than<
equals=
not equals≠
greater than>
p2
Part 3
Find the test statistic for this hypothesis test.
enter your response here
​(Round to two decimal places as​ needed.)
Part 4
Determine the​ P-value for this hypothesis test.
enter your response here
​(Round to three decimal places as​ needed.)
Part 5
Interpret the​ P-value.
If the population proportions are
▼
one would expect a sample difference proportion
▼
greater than the absolute value
ofgreater than the absolute value of
smaller thansmaller than
greater thangreater than
smaller than the absolute value
ofsmaller than the absolute value of
the one observed in about
enter your response here
out of 1000 repetitions of this experiment.
​(Round to the nearest integer as​ needed.)
Part 6
State the conclusion for this hypothesis test.
A.
Do not reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
B.
Reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
C.
Reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
D.
Do not reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
Verify the model requirements. Select all that apply.
A.
The data come from a population that is normally
distributed.
B.
The samples are independent.
C.
The sample size is less than​ 5% of the population size for
each sample.
D.
The sample size is more than​ 5% of the population size for
each sample.
E.
n1p11−p1≥10
and n2p21−p2≥10
F.
The samples are dependent.
Part 2
Determine the null and alternative hypotheses.
H0​:
p1
▼
greater than>
not equals≠
less than<
equals=
p2
H1​:
p1
▼
less than<
equals=
not equals≠
greater than>
p2
Part 3
Find the test statistic for this hypothesis test.
enter your response here
​(Round to two decimal places as​ needed.)
Part 4
Determine the​ P-value for this hypothesis test.
enter your response here
​(Round to three decimal places as​ needed.)
Part 5
Interpret the​ P-value.
If the population proportions are
▼
one would expect a sample difference proportion
▼
greater than the absolute value
ofgreater than the absolute value of
smaller thansmaller than
greater thangreater than
smaller than the absolute value
ofsmaller than the absolute value of
the one observed in about
enter your response here
out of 1000 repetitions of this experiment.
​(Round to the nearest integer as​ needed.)
Part 6
State the conclusion for this hypothesis test.
A.
Do not reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
B.
Reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
C.
Reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
D.
Do not reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
Verify the model requirements. Select all that apply.
A.
The data come from a population that is normally
distributed.
B.
The samples are independent.
C.
The sample size is less than​ 5% of the population size for
each sample.
D.
The sample size is more than​ 5% of the population size for
each sample.
E.
n1p11−p1≥10
and n2p21−p2≥10
F.
The samples are dependent.
Part 2
Determine the null and alternative hypotheses.
H0​:
p1
▼
greater than>
not equals≠
less than<
equals=
p2
H1​:
p1
▼
less than<
equals=
not equals≠
greater than>
p2
Part 3
Find the test statistic for this hypothesis test.
enter your response here
​(Round to two decimal places as​ needed.)
Part 4
Determine the​ P-value for this hypothesis test.
enter your response here
​(Round to three decimal places as​ needed.)
Part 5
Interpret the​ P-value.
If the population proportions are
▼
one would expect a sample difference proportion
▼
greater than the absolute value
ofgreater than the absolute value of
smaller thansmaller than
greater thangreater than
smaller than the absolute value
ofsmaller than the absolute value of
the one observed in about
enter your response here
out of 1000 repetitions of this experiment.
​(Round to the nearest integer as​ needed.)
Part 6
State the conclusion for this hypothesis test.
A.
Do not reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
B.
Reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
C.
Reject
H0.
There
is not
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.
D.
Do not reject
H0.
There
is
sufficient evidence to conclude that a higher proportion of
subjects in group 1 experienced
fever
as a side effect than subjects in group 2 at the
α=0.05
level of significance.