Psychology: Myers–Briggs The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 col- lege students (Applications of the Myers-Briggs Type Indicator in Higher Education, edited by Provost and Anchors). In the table, IN refers to intro- vert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Allied Science Business Health Row Total IN 64 15 17 96 EN 82 42 30 154 IS 68 35 12 115 ES 75 42 37 154 Column Total 289 134 96 519 Use a chi-square test to determine if Myers–Briggs preference type is inde- pendent of area of study at the 0.05 level of significance.
Psychology: Myers–Briggs The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 col- lege students (Applications of the Myers-Briggs Type Indicator in Higher Education, edited by Provost and Anchors). In the table, IN refers to intro- vert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Allied Science Business Health Row Total IN 64 15 17 96 EN 82 42 30 154 IS 68 35 12 115 ES 75 42 37 154 Column Total 289 134 96 519 Use a chi-square test to determine if Myers–Briggs preference type is inde- pendent of area of study at the 0.05 level of significance.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
![For Problems 9–19, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the
expected frequencies greater than 5? What sampling distribution will you
use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject
the null hypothesis of independence?
(e) Interpret your conclusion in the context of the application.
Use the expected values E to the hundredths place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac1d06a1-aa98-45e4-8f95-fefe85883fe9%2F3cb64134-1eb2-460e-904c-9ea9cecf64d7%2Foj5sn2i_processed.png&w=3840&q=75)
Transcribed Image Text:For Problems 9–19, please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the
expected frequencies greater than 5? What sampling distribution will you
use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject
the null hypothesis of independence?
(e) Interpret your conclusion in the context of the application.
Use the expected values E to the hundredths place.
![14. | Psychology: Myers–Briggs The following table shows the Myers-Briggs
personality preference and area of study for a random sample of 519 col-
lege students (Applications of the Myers–Briggs Type Indicator in Higher
Education, edited by Provost and Anchors). In the table, IN refers to intro-
vert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing;
and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts &
Allied
Science
Business
Health
Row Total
IN
64
15
17
96
EN
82
42
30
154
IS
68
35
12
115
ES
75
42
37
154
Column Total
289
134
96
519
Use a chi-square test to determine if Myers-Briggs preference type is inde-
pendent of area of study at the 0.05 level of significance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac1d06a1-aa98-45e4-8f95-fefe85883fe9%2F3cb64134-1eb2-460e-904c-9ea9cecf64d7%2F89xmx4_processed.png&w=3840&q=75)
Transcribed Image Text:14. | Psychology: Myers–Briggs The following table shows the Myers-Briggs
personality preference and area of study for a random sample of 519 col-
lege students (Applications of the Myers–Briggs Type Indicator in Higher
Education, edited by Provost and Anchors). In the table, IN refers to intro-
vert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing;
and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts &
Allied
Science
Business
Health
Row Total
IN
64
15
17
96
EN
82
42
30
154
IS
68
35
12
115
ES
75
42
37
154
Column Total
289
134
96
519
Use a chi-square test to determine if Myers-Briggs preference type is inde-
pendent of area of study at the 0.05 level of significance.
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