Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero at a significance level of a = 0.05. Fri. 6th 9 8 7 13 6 D 11 6 6 Fri. 13th 10 9 12 12 Click to view a table of critical values for the Wilcoxon signed-ranks test. First define the null and alternative hypotheses. Ho: The population of differences has a median equal to 0. H₁: The population of differences has a median not equal to 0. Calculate the test statistic. T= Calculate the critical value. The critical value is What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference. O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero at a significance level of a = 0.05. Fri. 6th 9 8 7 13 6 D 11 6 6 Fri. 13th 10 9 12 12 Click to view a table of critical values for the Wilcoxon signed-ranks test. First define the null and alternative hypotheses. Ho: The population of differences has a median equal to 0. H₁: The population of differences has a median not equal to 0. Calculate the test statistic. T= Calculate the critical value. The critical value is What is the conclusion for this hypothesis test? O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference. O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference. OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in
the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero
at a significance level of α = 0.05.
Fri. 6th
9
8
7
13
11
6 Q
Fri. 13th
10
9
12
6
6
12
Click to view a table of critical values for the Wilcoxon signed-ranks test.
First define the null and alternative hypotheses.
Ho: The population of differences has a median equal to 0.
H₁: The population of differences has a median not equal to 0.
Calculate the test statistic.
T=
Calculate the critical value.
The critical value is
What is the conclusion for this hypothesis test?
O A. Reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference.
B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim of no difference.
OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim of no difference.
Transcribed Image Text:n
5
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Critical Values of T for the Wilcoxon Signed-Ranks Test
.01
.025
.05
.005
(one tail)
(one tail)
(one tail)
(one tail)
.01
.02
.05
.10
(two tails)
(two tails)
(two tails)
(two tails)
1
♦
1
2
0
2
4
0
4
2
6
3
8
5
11
7
14
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21
25
30
35
40
46
52
59
66
73
81
90
98
107
117
127
137
.05
(two tails)
.025
(one tail)
10
13
16
19
23
28
32
37
43
49
55
61
68
76
84
92
100
109
.01
(two tails)
.005
(one tail)
2
3
5
7
10
13
16
20
24
28
33
38
43
49
56
62
69
77
85
93
102
111
120
.02
(two tails)
.01
(one tail)
6
8
11
14
17
21
26
30
36
41
47
54
60
68
75
83
92
101
110
120
130
141
152
.10
(two tails)
.05
(one tail)
n
5
6
7
8
9
10
11
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