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? □

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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.)
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