Question
In: Statistics and Probability
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
|
Personality Type |
|||
|
Occupation |
E |
I |
Row Total |
|
Clergy (all denominations) |
64 |
43 |
107 |
|
M.D. |
63 |
99 |
162 |
|
Lawyer |
54 |
83 |
137 |
|
Column Total |
181 |
225 |
406 |
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
Solutions
Expert Solution
The following cross tablulation have been provided. The row and column total have been calculated and they are shown below:
| Column 1 | Column 2 | Total | |
| Row 1 | 64 | 43 | 107 |
| Row 2 | 63 | 99 | 162 |
| Row 3 | 54 | 83 | 137 |
| Total | 181 | 225 | 406 |
test statistic = 13.652
orchestra answered 2 years agoRelated Solutions
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row Total
Clergy (all denominations)
66
41
107
M.D.
73
89
162
Lawyer
52
85
137
Column Total
191
215
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality preferences
for a random sample of 406 people in the listed professions. E
refers to extroverted and I refers to introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
65
42
107
M.D.
66
96
162
Lawyer
59
78
137
Column
Total
190
216
406
Use the chi-square test to determine if the listed occupations and
personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
67
40
107
M.D.
72
90
162
Lawyer
60
77
137
Column Total
199
207
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(b) Find the value of...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
58
49
107
M.D.
63
99
162
Lawyer
57
80
137
Column
Total
178
228
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
66
41
107
M.D.
66
96
162
Lawyer
61
76
137
Column Total
193
213
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row Total
Clergy (all denominations)
58
49
107
M.D.
70
92
162
Lawyer
52
85
137
Column Total
180
226
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
66
41
107
M.D.
71
91
162
Lawyer
61
76
137
Column
Total
198
208
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
60
47
107
M.D.
73
89
162
Lawyer
52
85
137
Column
Total
185
221
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality preferences
for a random sample of 406 people in the listed professions. E
refers to extroverted and I refers to introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
62
45
107
M.D.
69
93
162
Lawyer
57
80
137
Column Total
188
218
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...
The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
60
47
107
M.D.
67
95
162
Lawyer
51
86
137
Column
Total
178
228
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...
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