Question
In: Statistics and Probability
A distribution and the observed frequencies of the values of a variable from a simple random...
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.
Distribution:
0.18750.1875,
0.18750.1875,
0.250.25,
0.3750.375
Observed frequencies:
1818,
1919,
2020,
3939
Significance
levelequals=0.05
Solutions
orchestra answered 1 year agoRelated Solutions
A distribution and the observed frequencies of the values of a variable from a simple random...
A distribution and the observed frequencies of the values of a
variable from a simple random sample of the population are
provided. Use the chi-squaregoodness-of-fit test to decide, at a
significance level of 0.10, whether the distribution of the
variable differs from the given distribution. (You need to add the
expected column based on the distribution)
a. Specify which
Chi-Square test you are doing (Goodness-of-Fit or Test for
Independence):
b. Formulate the null
(H0) and alternate (HA) hypotheses:
c. Specify the level of...
A distribution and the observed frequencies of the values of a variable from a simple random...
A distribution and the observed frequencies of the values of a
variable from a simple random sample of the population are provided
below. Use the chi-square goodness-of-fit test to decide, at the
specified significance level, whether the distribution of the
variable differs from the given distribution.
Distribution: 0.3, 0.2, 0.2, 0.2, 0.1
Observed frequencies: 12, 9, 8, 17, 4
Significance level = 0.10
Consider the observed frequency distribution for the set of random variables. Random Variable, X Frequency, Fo...
Consider the observed frequency distribution for the set of
random variables.
Random Variable, X
Frequency, Fo
0
29
1
96
2
151
3
96
4
28
Total
400
a. Perform a chi-square test using alpha=0.05 to determine if
the observed frequencies follow the binomial probability
distribution when p=0.50 and n=4.
b. Determine the p-value and interpret its meaning.
The chi-square test statistic is
chi squared, χ2=______
p-value=______
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
The following table
contains observed frequencies for a sample of 200.
Column
Variable
Row Variable
A
B
C
P
40
48
45
Q
10
22
35
Test for independence
of the row and column variables using a=.05.
Compute the value of
the test statistic (to 2 decimals).
The -value is - Select
your answer -less than .005between .005 and .01between .01 and
.025between .025 and .05between .05 and .10greater than .10
What is your
conclusion?
- Select your answer
-Cannot...
The following table contains observed frequencies for a sample of 200. Row Variable Column Variable A...
The following table contains observed frequencies for a sample
of 200.
Row
Variable
Column Variable
A
B
C
P
16
40
46
Q
34
30
34
Test for independence of the row and column variables using
α = 0.05.
State the null and alternative hypotheses.
H0: Variable P is not independent of
variable Q. Ha: Variable P is independent of
variable Q.
H0: Variable P is independent of variable
Q.Ha: Variable P is not independent of variable
Q.
H0: The...
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
The following table contains observed frequencies for a sample
of 200.
Column
Variable
Row Variable
A
B
C
P
20
45
50
Q
30
26
29
Test for independence of the row and column variables
using α = .05.
Compute the value of the Χ 2 test statistic (to
2 decimals).
The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A...
The following table contains observed frequencies for a sample
of 200.
Column Variable
Row Variable
A
B
C
P
20
44
50
Q
30
26
30
Test for independence of the row and column variables using a=
.05
Compute the value of the test statistic (to 2
decimals).
For a random variable Z, that follows a standard normal distribution, find the values of z...
For a random variable Z, that follows a standard normal
distribution, find the values of z required for these probability
values:
P(Z<z)=.5 =
P(Z<z)=.1587 =
P(Z<z)=.8413 =
Please show how to solve without using excel.
Please show all steps.
Thank you!
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Column Variable...
Consider the following contingency table of observed
frequencies. Complete parts a. through d. below.
Column Variable
Row Variable
C1
C2
C3
R1
7
6
9
R2
11
9
8
a. Identify the null and alternative hypotheses for a
chi-square test of independence with based on the information in
the table. This test will have a significance level of
α=0.05.
Choose the correct answer below.
A.
H0:
The variables
R1,
R2,
C1,
C2,
and
C3
are independent.
H1:
At least one...
Consider the following contingency table of observed frequencies. Complete parts a. through e. below. Column Variable...
Consider the following contingency table of observed
frequencies. Complete parts a. through e. below.
Column Variable
Row Variable
Upper C 1C1
Upper C 2C2
Upper C 3C3
Upper R 1R1
2020
77
1818
Upper R 2R2
88
88
1313
Upper R 3R3
88
1616
6
Click the icon to view the contingency table.a. Identify the
null and alternative hypotheses for a chi-square test of
independence based on the information in the table. This test will
have a significance level of...
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