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Caught Red-handed, Hypothetically Speaking

Caught Red-handed, Hypothetically Speaking. Gregg Miller - Central Piedmont Community College - Charlotte, NC gregg.miller@cpcc.edu. Purpose: To introduce students to the thought process involved in hypothesis testing

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Caught Red-handed, Hypothetically Speaking

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  1. Caught Red-handed, Hypothetically Speaking Gregg Miller - Central Piedmont Community College - Charlotte, NC gregg.miller@cpcc.edu

  2. Purpose: To introduce students to the thought process involved in hypothesis testing Source: Journal of Statistics Education v.2, n.1 (1994) Steven Eckert, Texas A&M (http://www.amstat.org/publications/jse/v2n1/eckert.html ) Caught Red-handed

  3. Two decks of cards with identical backs Re-mix the decks so that one deck of 52 is all red. Preparation

  4. Remind students of the content of a standard deck of cards What is the probability of randomly selecting a red card from a standard deck? A black card? If we randomly select 10 cards from the deck, one at a time, with replacement, how many red cards do we expect? How many black? Begin selecting cards, one at a time with replacement Presentation

  5. Continue drawing cards, noting the color, until a student comments about being suspicious Poll the class to see how many are convinced the deck is fixed, how many suspect so, and how many aren’t sure Continue drawing cards until all are convinced Poll the class again to determine the number of red cards it took for the students to conclude the deck was fixed Presentation, (continued)

  6. Draw parallels between the red deck experiment and the stages in hypothesis testing Analysis

  7. How weird does it have to get? Compare p-values for the number of cards to traditional values of α=.10 (between 3 and 4 cards), α=.05 (between 4 and 5 cards), and α=.01 (between 6 and 7 cards)

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