Question

Suppose there is a random sample of 100 observations, divided into three groups. The table below summarizes the count of observations that were seen in each group.

Group 1 =51

Group 2 =17

Group 3 = 32

We are interested in testing the null hypothesis H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis HA: At least one proportion is incorrect.

a) What is the value of the test statistic? Round your response to at least 2 decimal places.

b) What conclusion can be made at the 5% level of significance?

There is very strong evidence against the null hypothesis, and therefore it is rejected in favour of the alternative hypothesis that at least one proportion is not correct.

There is no significant evidence against the null hypothesis, and therefore there is no significant evidence that any of the proportions is not correct.

Answer #1

Suppose there is a random sample of 1,196 observations, divided
into four groups. The table below summarizes the count of
observations that were seen in each group.
Group 1
Group 2
Group 3
Group 4
574
215
120
287
We are interested in testing the null hypothesis
H0:p1=0.5,p2=0.2,p3=0.1,p4=0.2.
a) What is the appropriate alternative hypothesis?
HA:All of the proportions are incorrect.
HA:At least one of the proportions is incorrect.
HA: All of the proportions are equal to each other.
b)...

Suppose there is a random sample of n observations, divided into
four groups. The table below summarizes the count of observations
that were seen in each group.
Group 1 -36
Group 2 -30
Group 3 -68
Group 4 -45
We are interested in testing the null hypothesis
H0:p1=p2=p3=p4=0.25, against the alternative hypothesis
HA:Atleastoneproportionisincorrect.
What is the expected count for each of the groups? Expected:
_______
What is the value of the test statistic? _______Round your
response to at least 2...

(S 12.1) Suppose there is a random sample of n observations,
divided into four groups. The table below summarizes the count of
observations that were seen in each group.
Group 1
Group 2
Group 3
Group 4
24
38
50
34
We are interested in testing the null hypothesis
H0:p1=p2=p3=p4=0.25, against the alternative hypothesis
HA:Atleastoneproportionisincorrect.
What is the expected count for each of the groups?
Expected:
What is the value of the test statistic? Round your response to
at least...

Suppose there is a random sample of 1,048 observations, divided
into four groups. The table below summarizes the observations that
were seen in each group.
Group 1
Group 2
Group 3
Group 4
493
189
115
251
We are interested in testing the Null hypothesis
Observed=Expected, under the assumption that the expected
proportions are .50, .20, .10, and .20 for the 4 groups,
respectively.
What are the expected values?
Group 1
Group 2
Group 3
Group 4
What is the value...

A sample of 90 observations indicated that X1 is 62.
A second sample of 146 observations indicated that X2 is
93. Conduct a z-test of hypothesis about a difference in
population proportions using a 0.04 significance level.
H0: p1 -
p2 ≥ 0
H1: p1 - p2
< 0
a)
State the decision rule.
Reject H0 in
favour of H1 if the computed value of the
statistic is less than -2.05 or greater than 2.05.
Reject H0 in
favour of...

A sample of 104 observations indicated that
X1 is 80. A second sample of 141 observations
indicated that X2 is 106. Conduct
a z-test of hypothesis about a difference in population
proportions using a 0.01 significance level.
H0:
p1 - p2 = 0
H1: p1 -
p2 ≠ 0
a)State the decision
rule.Reject H0 in favour
of H1 if the computed value of the
statistic is between -2.58 and
2.58.Reject H0 in favour
of H1 if the computed value of the
statistic is less than
2.58.Reject H0 in favour
of H1 if the computed value of the...

Independent random samples of
n1 = 170
and
n2 = 170
observations were randomly selected from binomial populations 1
and 2, respectively. Sample 1 had 96 successes, and sample 2 had
103 successes.
You wish to perform a hypothesis test to determine if there is a
difference in the sample proportions
p1
and
p2.
(a)
State the null and alternative hypotheses.
H0:
(p1 − p2)
< 0 versus Ha:
(p1 − p2)
> 0
H0:
(p1 − p2)
= 0...

The authors of a paper studied a random sample of 355 Twitter
users. For each Twitter user in the sample, the "tweets" sent
during a particular time period were analyzed and the Twitter user
was classified into one of the following categories based on the
type of messages they usually sent.
Category
Description
IS
Information sharing
OC
Opinions and complaints
RT
Random
thoughts
ME
Me now
(what I am doing now)
O
Other
The accompanying table gives the observed counts...

The authors of a paper studied a random sample of 353 Twitter
users. For each Twitter user in the sample, the tweets sent during
a particular time period were analyzed and the Twitter user was
classified into one of the following categories based on the type
of messages they usually sent.
Category
Description
IS
Information sharing
OC
Opinions and complaints
RT
Random thoughts
ME
Me
now (what I am doing now)
O
Other
The accompanying table gives the observed counts...

To determine if Canadians are worried about their investments in
the current global climate, a random sample n1 =
302 individuals under the age of 50 years old and a random
sample of n2 = 304 individuals over the age of
50 years old were obtained. In the "young" age group (under 50
years old), X1=96 of the participants indicated they were worried
about their investments, while in the "old" age group (over 50
years old), X2=114 of the participants...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 12 minutes ago

asked 26 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 41 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 51 minutes ago

asked 55 minutes ago

asked 56 minutes ago