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Robin's Hypothesis Testing

Age 16 to 18
Challenge Level Yellow starYellow star
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It is helpful to be systematic about your experiments and record your observations.  For example, you might want to run 100 simulations with the default settings.  How often is $H_0$ rejected when looking at just the final p-value?  What about when we use Robin's approach?

Next, try changing the number of trials.  How do the two approaches compare now?

Now try changing the proportion of green balls in the bag.  What happens now?  (Start with 50 trials again, so that you have a fair comparison with the original case.)

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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