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​,29​,40​,37​,26​,43. 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?

Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

A: Solution: Given information:  n=200 Sample size  k= 6 categories

Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: Given, Observation Frequency 1 28 2 28 3 47 4 37 5 28 6 32   n = 200 α = 0.025

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: Introduction :-

Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: Given: significance level α = 0.01 n = 200 Formula Used: Test-statistic χ2 = ∑(O-E)2E

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Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

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Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

A: Consider that pi, is the probability of ith outcome. If a fair die is rolled then the probability…

Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

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Q: Find the expected counts in each category using the given sample size and null hypothesis. Ho: P₁ =…

A: Sample size       In statistics, the sample size is the measure of the number of individual samples…

Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

A: The null and alternative hypotheses are stated below:H0: P1= P2= P3= P4= P5= P6=1/6.Ha: At least one…

Q: A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200…

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Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the…

A: The formula for the chi-square test statistic is given as,

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A: It is given that the statement about to the hypothesis test.

Q: Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the…

A: Let oi,(i=1,2,...,n) is a set of observed frequencies and ei,(i=1,2,...,n) is the corresponding set…