Write out the null and research hypothesis Report the χ² critical value for an alpha level of 0.05. Report χ² obtained/test stat and sig/p value from the output.
Write out the null and research hypothesis Report the χ² critical value for an alpha level of 0.05. Report χ² obtained/test stat and sig/p value from the output.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 22E
Related questions
Question
- Conduct a Chi-square test between two appropriate variables of your choice to investigate an association. Obtain column %s, count and expected count in the crosstabs table.
- Describe what the table tells you about the association in 2-3 sentences, reporting some %s and comparing select observed/expected frequencies in various cells to describe the association.
- Write out the null and research hypothesis
- Report the χ² critical value for an alpha level of 0.05.
- Report χ² obtained/test stat and sig/p value from the output.
- What is your decision about the hypothesized association?
- Write out a conclusion about the association.
- Attach your output including the cross-tabulation table and the chi-square test.
Transcribed Image Text:$ 100,000 or more
Count
73
28
101
Expected Count
67.0
34.0
101.0
% within Place of birth of
9.8%
7.4%
9.0%
respondent- Canada
Total
Count
742
376
1118
Expected Count
742.0
376.0
1118.0
% within Place of birth of
100.0%
100.0%
100.0%
respondent- Canada
Chi-Square Tests
Asymptotic
Significance
(2-sided)
Value
df
Pearson Chi-Square
28.158
11
.003
Likelihood Ratio
28.135
11
.003
Linear-by-Linear
Association
15.089
1
<.001
N of Valid Cases
1118
a. O cells (0.0%) have expected count less than 5. The
minimum expected count is 13.12.
Transcribed Image Text:Case Processing Summary
Cases
Valid
Missing
Total
Percent
Percent
N
Percent
Annual personal income
of the respondent - 2012
* Place of birth of
1118
74.5%
382
25.5%
1500
100.0%
respondent - Canada
Annual personal income of the respondent - 2012 * Place of birth of respondent - Canada
Crosstabulation
Place of birth of respondent -
Canada
Born in
Born outside
Canada
Canada
Total
Annual personal income
of the respondent- 2012
No income
Count
53
51
104
Expected Count
69.0
35.0
104.0
% within Place of birth of
respondent- Canada
7.1%
13.6%
9.3%
Less than $ 5,000
Count
20
19
39
Expected Count
25.9
13.1
39.0
% within Place of birth of
2.7%
5.1%
3.5%
respondent- Canada
$ 5,000 to $ 9,999
Count
26
18
44
Expected Count
29.2
14.8
44.0
% within Place of birth of
3.5%
4.8%
3.9%
respondent- Canada
$ 10,000 to $ 14,999
Count
60
23
83
Expected Count
55.1
27.9
83.0
% within Place of birth of
8.1%
6.1%
7.4%
respondent- Canada
$ 15,000 to $ 19,999
Count
52
27
79
Expected Count
52.4
26.6
79.0
% within Place of birth of
respondent- Canada
7.0%
7.2%
7.1%
$ 20,000 to $29,999
Count
77
44
121
Expected Count
80.3
40.7
121.0
% within Place of birth of
10.4%
11.7%
10.8%
respondent- Canada
$ 30,000 to $ 39,999
Count
94
45
139
Expected Count
92.3
46.7
139.0
% within Place of birth of
12.7%
12.0%
12.4%
respondent- Canada
$ 40,000 to $ 49,999
Count
91
36
127
Expected Count
84.3
42.7
127.0
% within Place of birth of
12.3%
9.6%
11.4%
respondent - Canada
$ 50,000 to $ 59,999
Count
60
26
86
Expected Count
57.1
28.9
86.0
% within Place of birth of
8.1%
6.9%
7.7%
respondent- Canada
$ 60,000 to $ 79,999
Count
84
47
131
Expected Count
86.9
44.1
131.0
% within Place of birth of
11.3%
12.5%
11.7%
respondent- Canada
$ 80,000 to $ 99,999
Count
52
12
64
Expected Count
42.5
21.5
64.0
% within Place of birth of
7.0%
3.2%
5.7%
respondent - Canada
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