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?
        Andy Pethan,
        Oct 18, 2014, 12:44 PM