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). Full data set M Course M Work F Personal F Work F Personal F Personal F Work M Work M M Personal F F Personal M M Personal F Course F Course F Personal M Personal Course Personal Course Course M Course F Work M M Course M Work F Personal F Personal F Course M M Work M Course M Work Work F Work M Work F Personal M Course M Personal F Course -C (a) Construct a contingency table for the two variables. Course Personal Male Female O A. Ho: Gender and drop reason are independent. H₁: Gender and drop reason are dependent. (b) Test whether gender is independent of drop reason at the x = 0.1 level of signif What are the hypotheses? OB. Ho: Pc Pp=Pw H₁: At least one of the proportions is different from the others. OC. Ho: Oc=Ec and Op = Ep and Ow = Ew H₁: Oc #Ec or Op # Ep or Ow * Ew Work Calculate the test statistic. x² = (Round to three decimal places as needed.) Determine the P-value. 00

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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).
Full data set
M Course M Work F Personal
F Work F
Personal F
F Work M Work IM
M Personal F
F Personal M
M Personal F
M Course F
M Course M
Course F
Course F
Personal M
Work M
Personal
Personal
Course
Personal
Course
Course
Work F Personal
Work
F Personal F Course M
Work
M Work M Course M
Work M Work F
M Course M Personal F
Personal
Course
|Σ||Σ
(a) Construct a contingency table for the two variables.
Course
Personal
Male
Female
(b) Test whether gender is independent of drop reason at the α = 0.1 level of significance.
What are the hypotheses?
O A. Ho: Gender and drop reason are independent.
H₁:
: Gender and drop reason are dependent.
O B. Ho: Pc = PP = Pw
H₁: At least one of the proportions is different from the others.
C. Ho: Oc=Ec and Op = Ep and Ow = Ew
H₁: Oc Ec or Op #Ep or Ow #Ew
Calculate the test statistic.
x² =
=
(Round to three decimal places as needed.)
Determine the P-value.
Work
P-value =
(Round to three decimal places as needed.)
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). Full data set M Course M Work F Personal F Work F Personal F F Work M Work IM M Personal F F Personal M M Personal F M Course F M Course M Course F Course F Personal M Work M Personal Personal Course Personal Course Course Work F Personal Work F Personal F Course M Work M Work M Course M Work M Work F M Course M Personal F Personal Course |Σ||Σ (a) Construct a contingency table for the two variables. Course Personal Male Female (b) Test whether gender is independent of drop reason at the α = 0.1 level of significance. What are the hypotheses? O A. Ho: Gender and drop reason are independent. H₁: : Gender and drop reason are dependent. O B. Ho: Pc = PP = Pw H₁: At least one of the proportions is different from the others. C. Ho: Oc=Ec and Op = Ep and Ow = Ew H₁: Oc Ec or Op #Ep or Ow #Ew Calculate the test statistic. x² = = (Round to three decimal places as needed.) Determine the P-value. Work P-value = (Round to three decimal places as needed.)
Make the proper conclusion. Choose the correct answer below.
A. Reject Ho. There is not sufficient evidence that gender and drop reason are
dependent.
B. Fail to reject Ho. There is not sufficient evidence that gender and drop reason
are dependent.
C. Reject Ho. There is sufficient evidence that gender and drop reason are
dependent.
D. Fail to reject Ho. There is sufficient evidence that gender and drop reason are
dependent.
(c) Construct a conditional distribution of drop reason by gender. Fill in the table below.
Male
Female
(Round to three decimal places as needed.)
Choose the correct bar graph below.
A.
B.
C
Course
Male
P
C
W
P
Male
W
W
Male
C
P
W
Female
C P W
Female
W
P
Female
Personal
Work
Transcribed Image Text:Make the proper conclusion. Choose the correct answer below. A. Reject Ho. There is not sufficient evidence that gender and drop reason are dependent. B. Fail to reject Ho. There is not sufficient evidence that gender and drop reason are dependent. C. Reject Ho. There is sufficient evidence that gender and drop reason are dependent. D. Fail to reject Ho. There is sufficient evidence that gender and drop reason are dependent. (c) Construct a conditional distribution of drop reason by gender. Fill in the table below. Male Female (Round to three decimal places as needed.) Choose the correct bar graph below. A. B. C Course Male P C W P Male W W Male C P W Female C P W Female W P Female Personal Work
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