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Warm Up The percentage of useful annotations in school copies of Heart of Darkness is 27%. Student’s in Mrs. Sloan’s AP English class suspect there are less useful annotations in their copies of Heart of Darkness. In order to test if they are correct we conduct a hypothesis test and find a p-value of 0.037. Write the hypothesis statements for this test. Explain the p-value within the context of this problem. What would be our conclusion for the test?
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Homework questions?
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Section 9.1 finished… Significance Tests: The Basics
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What is Possible When We Perform a Hypothesis Test?
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Type I and Type II Errors
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Another way to look at it!
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Examples
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Warm Up… Again The percentage of useful annotations in school copies of Heart of Darkness is 27%. Student’s in Mrs. Sloan’s AP English class suspect there are less useful annotations in their copies of Heart of Darkness. In order to test if they are correct we conduct a hypothesis test and find a p-value of 0.037. Explain the two types of error in the context of this problem? Which is worse? Which type of error could we have committed in the warm up?
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Put your notes on the floor. What is Type I error? What is Type II error? How can remember which is which?
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Example
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Significance and Type I Error
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Example
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Type II Error
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Power and Type II Error
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How are they related? Power How can we change power? Increasing alpha will increase power Decreasing alpha will decrease power Increasing sample size will increase power Decreasing sample size will decrease power
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Homework Pg. 547 (19-25, 27-30)
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Example
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