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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