The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allled Health Row Total 8 40 39 25 35 96 154 IN 63 79 EN IS ES 115 154 54 22 45 132 70 39 Column Total 266 121 519 A USE SALT Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are not independent. O Ho: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are not independent. (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.) 28.217 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O normal
The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allled Health Row Total 8 40 39 25 35 96 154 IN 63 79 EN IS ES 115 154 54 22 45 132 70 39 Column Total 266 121 519 A USE SALT Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are not independent. O Ho: Myers-Briggs type and area of study are independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are independent. O Ho: Myers-Briggs type and area of study are not independent. H,: Myers-Briggs type and area of study are not independent. (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.) 28.217 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O normal
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
please complete the blank problem and or ones with a red x next to it
not ones with a green check next to please
Transcribed Image Text:The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert,
sensing; and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts & Science
Business
Allied Health
Row Total
IN
63
8.
25
96
EN
79
40
35
154
IS
54
39
22
115
ES
70
45
39
154
Column Total
266
132
121
519
A USE SALT
Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance.
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
Ho: Myers-Briggs type and area of study are independent.
H,: Myers-Briggs type and area of study are not independent.
O Ho: Myers-Briggs type and area of study are independent.
H,: Myers-Briggs type and area of study are independent.
Ho: Myers-Briggs type and area of study are not independent.
H,: Myers-Briggs type and area of study are independent.
O Ho: Myers-Briggs type and area of study are not independent.
H: Myers-Briggs type and area of study are not independent.
(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.)
28.217
Are all the expected frequencies greater than 5?
Yes
No
What sampling distribution will you use?
O uniform
normal
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