Question
In: Statistics and Probability
Suppose there is a random sample of 400 observations, divided into four groups. The table below...
Suppose there is a random sample of 400 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 |
|
240 |
40 |
40 |
80 |
We are interested in testing the null hypothesis H0:p1=p2=p3=p4=0.25, against the alternative hypothesis HA:Atleastoneproportionisincorrect.
a) What is the expected count for each of the groups?
Expected:
b) What is the value of the test statistic?
Round your response to at least 2 decimal places.
c) What are the appropriate degrees of freedom?
d) 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 equal to 0.25. | ||
| There is no significant evidence against the null hypothesis, and therefore there is no significant evidence that any of the proportions is not equal to 0.25. |
Solutions
orchestra answered 2 years agoRelated Solutions
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101 267 We are interested in testing the Null hypothesis
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1) Suppose there is a random sample of n observations, divided into four groups. The table...
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
16
46
51
37
We are interested in testing the null hypothesis
H0:p1=p2=p3=p4=0.25, against the alternative hypothesis HA:
At least one proportion is incorrect
a) What is the expected count for each of the groups?
Expected: (number)
b) What is the value of the...
Suppose there is a random sample of 200 observations, divided into three groups. The table below...
Suppose there is a random sample of 200 observations, divided
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Group 1
Group 2
Group 3
102
40
58
We are interested in testing the null hypothesis
H0:p1=0.5,p2=0.2,p3=0.3, against the alternative hypothesis
HA:Atleastoneproportionisincorrect.
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...
The data for a random sample of 8 paired observations are shown in the table to the right.
The data for a random sample of 8 paired observations are shown in the table to the right.
a. What are the appropriate null and alternative hypotheses to test whether the mean for population 2 is larger than that for population 1?
b. Conduct the test identified in part a using alpha equals 0.01
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The data for a random sample of 10 paired observations are shown in the following table....
The data for a random sample of 10 paired observations are shown
in the following table.
Pair
Population1
Population 2
1
19
24
2
25
27
3
31
36
4
52
53
5
49
55
6
34
34
7
59
66
8
47
51
9
17
20
10
51
55
If you wish to test whether these data are sufficient to
indicate that the mean for population 2 is larger than that for
population 1, what are the appropriate null...
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A pool of
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In other words, the higher the concentration of virus, the more
severe the symptoms.Assume the sample sizes are
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Suppose a random sample of n = 5 observations is selected from a population that is...
Suppose a random sample of n = 5 observations is selected from a
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deviation of the sampling distribution of x. (Round your standard
deviation to four decimal places.) mean standard deviation (b) Find
the probability that x exceeds 7.3. (Round your answer to four
decimal places.) (c) Find the probability that the sample mean x is
less than...
Suppose a random sample of n = 16 observations is selected from a population that is...
Suppose a random sample of n = 16 observations is selected from
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and standard deviation equal to 11. (use SALT)
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distribution of the sample mean
x.
mean
standard deviation
(b) Find the probability that x exceeds 109. (Round your
answer to four decimal places.)
(c) Find the probability that the sample mean deviates from the
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Suppose a random sample of n = 5 observations is selected from a population that is...
Suppose a random sample of n = 5 observations
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(a)
Give the mean and standard deviation of the sampling
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(b)
Find the probability that x exceeds 3.3. (Round your
answer to four decimal places.)
(c)
Find the probability that the sample mean x is less
than 2.5. (Round your...
The data resulting from a random sample of 5 observations are shown below. Y is the...
The data resulting from a random sample of 5 observations are
shown below. Y is the dependent variable, and X1 and X2 are the
independent variables.
Observation
Y
X1
X2
1
87
95
11
2
86
94
11
3
84
94
11
4
83
93
12
5
84
93
12
Use Excel's Regression tool to answer the following questions.
To copy the data set, highlight the table, press Ctrl-c, click on
the Excel cell to which you want to copy,...
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