biostatistics problem 1
Problem 1
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present a contingency table
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state the appropriate null and the alternative hypothesis
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for each test
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determine a critical value using
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present a test statistic
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present a p-value
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interpret the p-value
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state your decision
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state your conclusion
In a study of risk factors for allergic disease among 13 and 14 year old school children, one risk factor was a family history of eating an unbalanced diet. In the study, 656 of 2107 children who had an unbalanced diet exhibited symptoms of rhinitis, whereas 677 of 2339 children who had a balanced diet exhibited symptoms of rhinitis.
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- Perform the Z test to determine if there is a significant difference in the proportion of children with symptoms of rhinitis between those on an unbalanced diet and those on a balanced diet.
- Perform the chi-square test to determine if there is a significant difference in the proportion of children with symptoms of rhinitis between those on an unbalanced diet and those on a balanced diet.
- Demonstrate the equivalence of the tests in a. and b.
- Use a 95 % confidence interval to estimate the difference in the proportion of children with symptoms of rhinitis between those on an unbalanced diet and those on a balanced diet.
- Provide an interpretation of your interval.
- Demonstrate how the confidence interval can also be used to test the hypothesis.
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