Answer the following questions pertaining to the table attached: a) Are the variables Sex and Cancer independent? Show your work. b) Are the variables Sex and Diet independent? Show your work. c) Are the variables Sex and Diet independent conditional on Cancer? Show your work. d) What, if any, causal inference would you make based on these data? Explain your answer.

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Answer the following questions pertaining to the table attached:


a) Are the variables Sex and Cancer independent? Show your work.

b) Are the variables Sex and Diet independent? Show your work.

c) Are the variables Sex and Diet independent conditional on Cancer? Show your work.

d) What, if any, causal inference would you make based on these data? Explain your answer.

Unit
Sex
Cancer
Diet
1
male
no
vegetarian
male
yes
non-vegetarian
3
female
non-vegetarian
no
4
male
yes
non-vegetarian
5
female
no
vegetarian
female
non-vegetarian
no
7
female
vegetarian
no
8
female
non-vegetarian
no
male
yes
non-vegetarian
10
male
vegetarian
no
2.
6,
9,
Transcribed Image Text:Unit Sex Cancer Diet 1 male no vegetarian male yes non-vegetarian 3 female non-vegetarian no 4 male yes non-vegetarian 5 female no vegetarian female non-vegetarian no 7 female vegetarian no 8 female non-vegetarian no male yes non-vegetarian 10 male vegetarian no 2. 6, 9,
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