B. Prove It

Driving question
      How can we disprove a claim without perfect evidence?

      Learning objectives, requirement tasks, and mastery assessments
        • Setup a hypothesis test of a population parameter, run the test using simulation, make a logical conclusion, and be aware of potential errors.
          • Task: 
            • In class simulations of disproving a claim and analyzing the cost/benefit of errors
            • Create video scenes for video:
              • Generate a question about BHS students (what percent do ___) and ask a teacher to state their claim.
              • Create an alternative hypothesis.
              • Complete a SRS of 30 students to obtain evidence for the true answer to the question.
              • Calculate a p-value for the scenario.
          • Mastery quiz: 
            • Understand the purpose of a hypothesis test
            • Understand the logic of a hypothesis test
            • Properly write null and alternative hypotheses.
            • Use random simulation to estimate a p-value for proportions
            • Understand the difference between statistical and practical significance.
            • Understand how to choose a level of significance, α, and when you should reject the null.
            • Understand Type I and Type II errors and how their probabilities are labeled.
          • Mastery free-response questions:
            • How to generate/find a null hypothesis
            • 3 ways to better reject the null
            • Connection between confidence intervals and hypothesis tests

        • Use confidence intervals, the normal curve, and computational methods to more broadly understand the meaning of a p-value.
          • Task
            • Summary and calculations for video:
              • Calculate a p-value with the normal curve, checking assumptions first.
              • Write an accurate sentence clearly describing your p-value.
              • Write a conclusion statement about your result.
          • Mastery quiz: 
            • Use prior knowledge of hypothesis testing.
            • Checking assumptions for use of the normal curve.
            • Calculate and sketch a p-value using the normal curve and z-score
            • Write an accurate sentence clearly describing your p-value.
            • Conclude about statistical significance and rejection.
          • Mastery free-response topics:
            • Bootstrap vs. math model for calculation
            • P-value in a sentence
            • Perform 2-sided test with a confidence interval
        • In a team, use a video to demonstrate the complete process of obtaining a claim, selecting an alternative, gathering evidence, analyzing the data, and making an informed conclusion.
          • Task
            • Compile the video work from the previous sections, along with a creative storyline, into a short demonstration of the hypothesis testing process.
          • Mastery free-response questions:
            • Compare and contrast the purpose of a confidence interval, as used in the infographic, with a hypothesis test, as used in the video.
            • Why did the simulation and normal curve approaches to finding a p-value differ?  Why does or does this not bother you?
            • How did you take a leadership or captain role on an even number of tasks during the project?
            • Did the video help you improve your understanding of how to do hypothesis tests?  How could we setup the project differently to improve it next semester?
        Ċ
        Andy Pethan,
        Oct 18, 2014, 12:44 PM
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