INSTRUCTIONS: This week we are studying how to analyze the relationship between categorical variables with the help of a contingency table and probability. Solve the following exercises about contingency tables and probability. EXERCISE 1: In a population of 80 individuals, each one of them is asked the question: "What color do you prefer, blue or red?". The following table summarizes the 80 answers. Blue Red Total Man 8 20 28 Woman 12 40 52 Total 20 60 80 John gets the conclusion that women are more likely to prefer blue than men. Here is his reasoning: P(Woman | Blue) = 12/20 = 0.6 P(Man | Blue) 8/20 -0.4. Is John correct in his conclusion? Why or why not? If not, find the right answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Explain the answers.
INSTRUCTIONS:
This week we are studying how to analyze the relationship between categorical variables with the help of a contingency table and probability.
Solve the following exercises about contingency tables and probability.
EXERCISE 1: In a population of 80 individuals, each one of them is asked the question: "What color do you prefer, blue or red?". The following
table summarizes the 80 answers.
Blue
Red
Total
Man
8
20
28
Woman
12
40
52
Total
20
60
80
John gets the conclusion that women are more likely to prefer blue than men. Here is his reasoning:
P(Woman | Blue) = 12/20 = 0.6
P(Man | Blue) 8/20 -0.4.
Is John correct in his conclusion? Why or why not? If not, find the right answer.
Transcribed Image Text:INSTRUCTIONS: This week we are studying how to analyze the relationship between categorical variables with the help of a contingency table and probability. Solve the following exercises about contingency tables and probability. EXERCISE 1: In a population of 80 individuals, each one of them is asked the question: "What color do you prefer, blue or red?". The following table summarizes the 80 answers. Blue Red Total Man 8 20 28 Woman 12 40 52 Total 20 60 80 John gets the conclusion that women are more likely to prefer blue than men. Here is his reasoning: P(Woman | Blue) = 12/20 = 0.6 P(Man | Blue) 8/20 -0.4. Is John correct in his conclusion? Why or why not? If not, find the right answer.
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