You are stuck at home with your family during a quarantine. To pass time, you play games with your siblings Lisa and Maggie. In the course of 10 games, Maggie wins all of them and you begin to suspect that she is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games: Sum of two Dice Number of Occurrences 2 7 3 14 4 11 5 26 6 33 7 20 8 31 9 23 10 20 11 11 12 4 Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test?
You are stuck at home with your family during a quarantine. To pass time, you play games with your siblings Lisa and Maggie. In the course of 10 games, Maggie wins all of them and you begin to suspect that she is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games: Sum of two Dice Number of Occurrences 2 7 3 14 4 11 5 26 6 33 7 20 8 31 9 23 10 20 11 11 12 4 Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
Related questions
Topic Video
Question
You are stuck at home with your family during a quarantine. To pass time, you play games with your siblings Lisa and Maggie. In the course of 10 games, Maggie wins all of them and you begin to suspect that she is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games:
| Sum of two Dice | Number of Occurrences |
| 2 | 7 |
| 3 | 14 |
| 4 | 11 |
| 5 | 26 |
| 6 | 33 |
| 7 | 20 |
| 8 | 31 |
| 9 | 23 |
| 10 | 20 |
| 11 | 11 |
| 12 | 4 |
Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning