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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
Question
Explain the answers.
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning