Compute the value of the chi-square test statistic.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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compute the value of the chi-square test statistic
A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were
collected. Complete parts (a) through (c).
(a) Construct a contingency table for the two variables.
Course
Personal
Work
Full data set O
Male
5
8
M Personal F Personal F
M Course M Work M
F
M Personal F Course F
F Personal F Course F
M Personal F Personal M
M Course F Work M
M Personal M Personal F
F Personal F Course M
M Work
Work M Work
Personal
Female
6.
8.
3
Work
Work
M Work M
Personal
(b) Test whether gender is independent of drop reason at the a = 0.1 level of significance.
Course
Personal
What are the hypotheses?
Course
Course
O A. Ho: Pc = Pp = Pw
Personal
Work
H: At least one of the proportions is different from the others.
O B. Ho: Oc = E, and Op = Ep and Ow = Ew
H1: Oc #Ec or Op # Ep or Ow # Ew
Work
M
Personal
Course
Work
%3D
F
F Course M Course F
YC. Ho: Gender and drop reason are independent.
E Click the icon to view the Chi-Square table of critical values.
H: Gender and drop reason are dependent.
Compute the value of the chi-square test statistic.
(Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
Check Answer
Clear All
4 parts
remaining
MacBook Air
F10
80
888
F4
esc
F2
F3
&.
@
23
8
1
2
3
4
P
Q
W
E
R
т
Y
F
G
H.
J
K
A
S
Transcribed Image Text:A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c). (a) Construct a contingency table for the two variables. Course Personal Work Full data set O Male 5 8 M Personal F Personal F M Course M Work M F M Personal F Course F F Personal F Course F M Personal F Personal M M Course F Work M M Personal M Personal F F Personal F Course M M Work Work M Work Personal Female 6. 8. 3 Work Work M Work M Personal (b) Test whether gender is independent of drop reason at the a = 0.1 level of significance. Course Personal What are the hypotheses? Course Course O A. Ho: Pc = Pp = Pw Personal Work H: At least one of the proportions is different from the others. O B. Ho: Oc = E, and Op = Ep and Ow = Ew H1: Oc #Ec or Op # Ep or Ow # Ew Work M Personal Course Work %3D F F Course M Course F YC. Ho: Gender and drop reason are independent. E Click the icon to view the Chi-Square table of critical values. H: Gender and drop reason are dependent. Compute the value of the chi-square test statistic. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 4 parts remaining MacBook Air F10 80 888 F4 esc F2 F3 &. @ 23 8 1 2 3 4 P Q W E R т Y F G H. J K A S
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