Question
In: Statistics and Probability
The table to the right contains observed values and expected values in parentheses for two categorical...
The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to answer the question below. Complete parts (a) and (b) below.
| X1 | X2 | X3 | |
| Y1 | 69 (69.845) | 61 (50.725 | 69 (78.429 |
| Y2 | 110 (109.155) | 69 (79.275) | 132 (122.571) |
(a) Compute the value of the chi-square test statistic
(b)Test the hypothesis that X and Y are independent at the alpha=0.05 level of significance.
Solutions
orchestra answered 1 year agoRelated Solutions
The table to the below contains observed values and expected values in parentheses for two categorical...
The table to the below contains observed values and expected
values in parentheses for two categorical variables, X and Y,
where variable X has three categories and variable Y has two
categories. Use the table to complete parts (a) and (b)
below.
X1
X2
X3
Y1
34
40
55
36.86
43.24
48.91
Y2
18
21
14
15.14
17.76
20.09
(a) Compute the value of the chi-square test statistic. (Round
to three decimal places as needed.)
X 2/0=
(b) Test the...
3) [4] Below are the observed and expected (in parentheses) frequencies for athletic injuries for those...
3) [4] Below are the observed and expected (in parentheses)
frequencies for athletic injuries for those athletes who properly
stretched versus those who did not. Assuming a ? 2 Test for
Independence test is being conducted, at ? = 0.05, are athletic
injuries independent of stretching? Only list steps 3-7 of the
hypothesis test.
Stretched
Not stretched
Totals
Injury
18 (20.8)
22 (19.2)
40
No Injury
211 (208.2)
189 (191.8)
400
Totals
229
211
440
INFERENCE ON CATEGORICAL DATA For the given table of observed frequencies: 1 2 3 A 15...
INFERENCE ON CATEGORICAL DATA
For the given table of observed frequencies:
1
2
3
A
15
10
12
B
3
11
11
C
9
14
12
Compute the value of the chi-square statistics.
If appropriate, perform a test of independence, using the
α=0.05 level of significance.
a) The categories of a categorical variable are given along with the observed counts from a...
a) The categories of a categorical variable are given along with
the observed counts from a sample. The expected counts from a null
hypothesis are given in parentheses. Compute the χ2-test statistic,
and use the χ2-distribution to find the p-value of the
test.
Category
A
B
C
D
Observed
(Expected)
80(70)
130(140)
195(210)
295(280)
Round your answer for the chi-square statistic to two decimal
places, and your answer for the p-value to four decimal
places.
chi-square statistic = ____________________...
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).
How are the expected values calculated for the contingency table of a test if independence and...
How
are the expected values calculated for the contingency table of a
test if independence and what is the reason that this formula
works?
The following table contains information on matched sample values whose differences are normally distributed. Use Table...
The following table contains information on matched sample
values whose differences are normally distributed. Use Table 2.
Number
Sample 1
Sample 2
1
19
22
2
12
11
3
22
21
4
20
22
5
18
20
6
14
19
7
18
19
8
16
20
a.
Construct the 95% confidence interval for the mean difference
μD. (Negative values should be
indicated by a minus sign. Round all intermediate calculations to
at...
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