Exam 10: Multinomial Experiments and Contingency Tables

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Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm. Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm.    -Identify the null and alternative hypotheses. -Identify the null and alternative hypotheses.

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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely.    -Identify the null and alternative hypotheses. -Identify the null and alternative hypotheses.

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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely.    -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

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Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm. Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm.    -How many patients are included in the experiment? -How many patients are included in the experiment?

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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely.    -Identify the null and alternative hypotheses. -Identify the null and alternative hypotheses.

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Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no    improvement on the drops treated eye. -How many patients are included in the experiment? improvement on the drops treated eye. -How many patients are included in the experiment?

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Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients. Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients.   -Identify the null and alternative hypotheses. -Identify the null and alternative hypotheses.

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For the next questions, identify the choice that contains a discordant pair. -Choose the following pair of results that are discordant.

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For the next questions, identify the choice that contains a discordant pair. -Choose the following pair of results that are discordant.

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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely.    -Identify the   critical value. -Identify the Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely.    -Identify the   critical value. critical value.

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Use the following sample data to answer the next questions. Biologists studying the re-introduction of two species of fish in the Pacific Ocean examined fish survival after release based on two rearing strategies: rearing at a land-based farm and rearing at an ocean-based farm. Using a .05 significance level, test the claim that the survival of the species of fish is independent of rearing strategy. Use the following sample data to answer the next questions. Biologists studying the re-introduction of two species of fish in the Pacific Ocean examined fish survival after release based on two rearing strategies: rearing at a land-based farm and rearing at an ocean-based farm. Using a .05 significance level, test the claim that the survival of the species of fish is independent of rearing strategy.   -Identify the   critical value. -Identify the Use the following sample data to answer the next questions. Biologists studying the re-introduction of two species of fish in the Pacific Ocean examined fish survival after release based on two rearing strategies: rearing at a land-based farm and rearing at an ocean-based farm. Using a .05 significance level, test the claim that the survival of the species of fish is independent of rearing strategy.   -Identify the   critical value. critical value.

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For the next questions, identify the choice that contains a discordant pair. -Choose the following pair of results that are discordant.

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Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no    improvement on the drops treated eye. -Identify the   critical value. improvement on the drops treated eye. -Identify the Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no    improvement on the drops treated eye. -Identify the   critical value. critical value.

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Use the following sample data to answer the next questions. Biologists studying the re-forestation of two species of tropical trees in Brazil's Atlantic forest examined the number of trees that survived based on whether they were planted at a mine site or at a railroad embankment. Using a .05 significance level, test the claim that whether a tree survives at a mine site or at a railroad embankment is independent of the species of the tree. Use the following sample data to answer the next questions. Biologists studying the re-forestation of two species of tropical trees in Brazil's Atlantic forest examined the number of trees that survived based on whether they were planted at a mine site or at a railroad embankment. Using a .05 significance level, test the claim that whether a tree survives at a mine site or at a railroad embankment is independent of the species of the tree.    -Identify the null and alternative hypotheses. -Identify the null and alternative hypotheses.

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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely.    -What is the expected frequency for each of the seven categories? -What is the expected frequency for each of the seven categories?

(Short Answer)
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Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no    improvement on the drops treated eye. -Determine the value of the   test statistic. improvement on the drops treated eye. -Determine the value of the Use the following sample data to answer the next questions. The table represents results from an experiment with patients afflicted in both eyes with glaucoma. Each patient was treated in one eye with laser surgery and in the other eye was treated with eye drops. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no improvement on the laser treated eye and an improvement on the drops treated eye is the same as the proportion of patients with an improvement on the laser treated eye and no    improvement on the drops treated eye. -Determine the value of the   test statistic. test statistic.

(Short Answer)
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Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely. Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely.    -Determine the value of the   test statistic. -Determine the value of the Use the following sample data to answer the next questions. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely.    -Determine the value of the   test statistic. test statistic.

(Short Answer)
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Use the following sample data to answer the next questions. Biologists studying the re-introduction of two species of fish in the Pacific Ocean examined fish survival after release based on two rearing strategies: rearing at a land-based farm and rearing at an ocean-based farm. Using a .05 significance level, test the claim that the survival of the species of fish is independent of rearing strategy. Use the following sample data to answer the next questions. Biologists studying the re-introduction of two species of fish in the Pacific Ocean examined fish survival after release based on two rearing strategies: rearing at a land-based farm and rearing at an ocean-based farm. Using a .05 significance level, test the claim that the survival of the species of fish is independent of rearing strategy.   -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

(Essay)
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Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients. Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients.   -Determine the value of the   test statistic. -Determine the value of the Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of fear/do not fear responses are the same for male and female dental patients.   -Determine the value of the   test statistic. test statistic.

(Short Answer)
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Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of people who favor/oppose pro-choice on the abortion issue are the same for the males and females. Use the following sample data to answer the next questions. Using a .01 significance level, test the claim that the proportions of people who favor/oppose pro-choice on the abortion issue are the same for the males and females.   -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

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