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Determine the null and alternative hypotheses. A. H0​: All outcomes are equally likely. Ha​: At least one of the probabilities is different from the others. This is the correct answer.   B. H0​: At least one of the probabilities is different from the others. Ha​: All outcomes are equally likely.   C. H0​: All frequencies are equal to 5. Ha​: All frequencies are less than 5. Your answer is not correct.   D. H0​: All frequencies are less than 5. Ha​: All frequencies are equal to 5.   Compute the value of the test​ statistic, χ2.   χ2= ​(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 sufficient evidence to reject the null hypothesis.   B. No​, because there is not sufficient evidence to reject the null hypothesis. answer is correct.   C. Yes​, because there is not sufficient evidence to reject the null hypothesis.   D. No​, because there is sufficient evidence to reject the null hypothesis.

Determine the null and alternative hypotheses. A. H0​: All outcomes are equally likely. Ha​: At least one of the probabilities is different from the others. This is the correct answer.   B. H0​: At least one of the probabilities is different from the others. Ha​: All outcomes are equally likely.   C. H0​: All frequencies are equal to 5. Ha​: All frequencies are less than 5. Your answer is not correct.   D. H0​: All frequencies are less than 5. Ha​: All frequencies are equal to 5.   Compute the value of the test​ statistic, χ2.   χ2= ​(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 sufficient evidence to reject the null hypothesis.   B. No​, because there is not sufficient evidence to reject the null hypothesis. answer is correct.   C. Yes​, because there is not sufficient evidence to reject the null hypothesis.   D. No​, because there is sufficient evidence to reject the null hypothesis.

MATLAB: An Introduction with Applications
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
Determine the null and alternative hypotheses.
A.
H0​:
All outcomes are equally likely.
Ha​:
At least one of the probabilities is different from the others.
This is the correct answer.
 
B.
H0​:
At least one of the probabilities is different from the others.
Ha​:
All outcomes are equally likely.
 
C.
H0​:
All frequencies are equal to 5.
Ha​:
All frequencies are less than 5.
Your answer is not correct.
 
D.
H0​:
All frequencies are less than 5.
Ha​:
All frequencies are equal to 5.
 
Compute the value of the test​ statistic,
χ2.
 
χ2=
​(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 sufficient evidence to reject the null hypothesis.
 
B.
No​,
because there is not sufficient evidence to reject the null hypothesis.
answer is correct.
 
C.
Yes​,
because there is not sufficient evidence to reject the null hypothesis.
 
D.
No​,
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 197 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 19, 27, 49, 33, 30, and 39. 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?
Transcribed Image Text:A researcher drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 197 times. The observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6 respectively are 19, 27, 49, 33, 30, and 39. 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?
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