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 F Personal F M Work M F Work M M Personal F Personal F Personal Course F Personal Work M Personal Course F Course F Personal M Course F Personal M Personal F Personal M Course Course Course F Personal Course M Work Personal F Course M Course F Work M M Personal M F Personal F M Work F Work M Work F Personal Work M Personal M Work M (a) Construct a contingency table for the two variables. Course Personal Male Female OA. Ho: Pc Pp=Pw (b) Test whether gender is independent of drop reason at the a=0.1 level of significance. What are the hypotheses? H₁: At least one of the proportions is different from the others. O B. Ho: Oc=Ec and Op = Ep and Ow=Ew H₁: Oc #Ec or Op #Ep or Ow #Ew OC. Ho: Gender and drop reason are independent. H₁: Gender and drop reason are dependent. Calculate the test statistic. x3=0 (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. Fail to reject Ho. There is sufficient evidence that gender and drop reason are dependent.

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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
F Personal F Personal F Personal
M Work M Course F Personal
F Work M Work IM Personal
M Personal F Course F Course
F Personal M Course F Personal
M Personal F Personal M Course
M Course F Work M Course
M Personal M Course F Personal
|F Personal F Course M Work
M Work F Personal F Course
F Work IM Work F
M Personal M Work M
Personal
Work
(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: Pc = PP = Pw
H₁: At least one of the proportions is different from the others.
O B. Ho: Oc=Ec and Op = Ep and Ow = Ew
H₁: Oc #Ec or Op #Ep or Ow #Ew
C. Ho: Gender and drop reason are independent.
H₁: Gender and drop reason are dependent.
Calculate the test statistic.
x²=0
(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.
O A. Fail to reject Ho. There is sufficient evidence that gender and drop reason are
dependent.
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 F Personal F Personal F Personal M Work M Course F Personal F Work M Work IM Personal M Personal F Course F Course F Personal M Course F Personal M Personal F Personal M Course M Course F Work M Course M Personal M Course F Personal |F Personal F Course M Work M Work F Personal F Course F Work IM Work F M Personal M Work M Personal Work (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: Pc = PP = Pw H₁: At least one of the proportions is different from the others. O B. Ho: Oc=Ec and Op = Ep and Ow = Ew H₁: Oc #Ec or Op #Ep or Ow #Ew C. Ho: Gender and drop reason are independent. H₁: Gender and drop reason are dependent. Calculate the test statistic. x²=0 (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. O A. Fail to reject Ho. There is sufficient evidence that gender and drop reason are dependent.
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Follow-up Question
(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.
C
0-
Course
Mala
Click to copy table.
B.
с
P W
P W
Male
P
W
CP W
Female
C
P
с
W
Female
P W
Personal
Work
Transcribed Image Text:(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. C 0- Course Mala Click to copy table. B. с P W P W Male P W CP W Female C P с W Female P W Personal Work
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