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? □
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
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc12be62e-b311-4f79-8695-3d920ef17350%2F43579584-6659-4f8e-8354-4cef7df6eb30%2Fs9pu1ug_processed.png&w=3840&q=75)
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.)
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