A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 31, 37, 43, 41, 20, and 37. 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? O Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: At least one of the probabilities is different from the others. Ha: All outcomes are equally likely. O B. Ho: All outcomes are equally likely. H: At least one of the probabilities is different from the others. O C. Ho: All frequencies are equal to 5. Ha: All frequencies are less than 5. O D. Ho: All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, y2. y2 = (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? O A. Yes, because there is not sufficient evidence to reject the null hypothesis. O B. No, because there is sufficient evidence to reject the null hypothesis. OC. No, because there is not sufficient evidence to reject the null hypothesis. O D. Yes, because there is sufficient evidence to reject the null hypothesis.
A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 31, 37, 43, 41, 20, and 37. 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? O Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: At least one of the probabilities is different from the others. Ha: All outcomes are equally likely. O B. Ho: All outcomes are equally likely. H: At least one of the probabilities is different from the others. O C. Ho: All frequencies are equal to 5. Ha: All frequencies are less than 5. O D. Ho: All frequencies are less than 5. Ha: All frequencies are equal to 5. Compute the value of the test statistic, y2. y2 = (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does it appear that the loaded die behaves differently than a regular die? O A. Yes, because there is not sufficient evidence to reject the null hypothesis. O B. No, because there is sufficient evidence to reject the null hypothesis. OC. No, because there is not sufficient evidence to reject the null hypothesis. O D. Yes, because there is sufficient evidence to reject the null hypothesis.
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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Transcribed Image Text:A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 209 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 31, 37, 43, 41, 20, and 37. 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? O
.....
Determine the null and alternative hypotheses. Choose the correct answer below.
A. Ho: At least one of the probabilities is different from the others.
Ha: All outcomes are equally likely.
B. Ho: All outcomes are equally likely.
Ha: At least one of the probabilities is different from the others.
C. Ho: All frequencies are equal to 5.
Ha: All frequencies are less than 5.
D. Ho: All frequencies are less than 5.
Ha: All frequencies are equal to 5.
Compute the value of the test statistic, x2.
x² =
(Round to two decimal places as needed.)
Find the P-value.
P =
(Round to three decimal places as needed.)
Does it appear that the loaded die behaves differently than a regular die?
A. Yes, because there is not sufficient evidence to reject the null hypothesis.
B. No, because there is sufficient evidence to reject the null hypothesis.
C. No, because there is not sufficient evidence to reject the null hypothesis.
D. Yes, because there is sufficient evidence to reject the null hypothesis.
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