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Powerful Hypothesis Testing

Age 16 to 18
Challenge Level Yellow starYellow star
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It is important to be systematic and record your results as you go.  What information will you need to record for each simulation so that you can decide what factors affect the probability of $H_0$ being rejected?

It makes sense to change one factor at a time when exploring how different factors do or don't affect the probability of $H_0$ being rejected.

How many times will you run the experiment before recording the proportion of times that $H_0$ was rejected?  Do you need to decide this before you start?


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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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