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Topic: Binomial proportion example
Replies: 1   Last Post: Mar 1, 1997 3:10 PM

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Jerome Reiter

Posts: 8
Registered: 12/6/04
Binomial proportion example
Posted: Feb 28, 1997 9:22 PM
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Hello all!

I am Jerry Reiter, a 3rd year graduate student in statistics at Harvard
University. I am very interested in the teaching of statistics and in
how the AP statistics exam is taking shape. I am looking forward
to learning about teaching statistics by participating in this group!

A great example for demonstrating hypothesis testing for p-hat is the
following:

Take 20 pennies (20 is arbitrary, just make it a relatively large
number) and stand them up on their edges on a table. Bang the table
with a moderate amount of force. How many pennies do you expect will
land heads up?

It turns out that the tails side of a penny is heavier, so heads comes
up a lot more than 50% of the time! I haven't done it with a large
number of pennies, but I usually get 80% heads or more!

This is a fun example to test againt the null p=0.5. If you have lots
of students doing the example, you will likely find some accepting the
null hypothesis. This will show the variability inherent in hypothesis
testing.

Jerry Reiter





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