Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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11.6

Conduct the hypothesis test and provide the test statistic and the critical value, and
state the conclusion.
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it
200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6,
respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 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?
Click here to view the chi-square distribution table.
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 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? Click here to view the chi-square distribution table.
The test statistic is
The critical value is
The P-value is
State the conclusion.
(Round to three decimal places as needed.)
(Round to three decimal places as needed.)
(Round to four decimal places as needed.)
so the loaded die
Ho. There
sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes
to behave differently from a fair die.
to be equally likely,
Transcribed Image Text:The test statistic is The critical value is The P-value is State the conclusion. (Round to three decimal places as needed.) (Round to three decimal places as needed.) (Round to four decimal places as needed.) so the loaded die Ho. There sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes to behave differently from a fair die. to be equally likely,
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