A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 203 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 27, 29, 40, 47, 26, and 34. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? □

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 203
times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 27,
29, 40, 47, 26, and 34. Use a 0.05 significance level to test the claim that the outcomes are not
equally likely. Does it appear that the loaded die behaves differently than a fair die?
Question Viewer
Determine the null and alternative hypotheses. Choose the correct answer below.
A. Ho: All frequencies are equal to 5.
Ha All frequencies are less than 5.
B. Ho: All outcomes are equally likely.
Ha: At least one of the probabilities is different from the others.
C. Ho: At least one of the probabilities is different from the others.
Ha: All outcomes are equally likely.
D. Ho: All frequencies are less than 5.
Ha: All frequencies are equal to 5.
Compute the value of the test statistic, x².
x² = 1
(Round to two decimal places as needed.)
Transcribed Image Text:A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 203 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 27, 29, 40, 47, 26, and 34. Use a 0.05 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Question Viewer Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: All frequencies are equal to 5. Ha All frequencies are less than 5. B. Ho: All outcomes are equally likely. Ha: At least one of the probabilities is different from the others. C. Ho: At least one of the probabilities is different from the others. Ha: All outcomes are equally likely. D. Ho: All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, x². x² = 1 (Round to two decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 17 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman