MediumStatistics & Data ScienceHigh School (9–10)High School (11–12)UndergraduateGeneralStatistics Basics › Learning from SamplesStatistics Basics › Probability and ChanceNumericalConceptual
A student wants to know whether a spinner lands on red too often…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A student wants to know whether a spinner lands on red too often. She simulates sets of spins with a fair spinner, and of the sets give at least as many reds as her real spinner gave. Estimate the p-value. Is the result significant at the level? At the level?
Need a reminder? The key ideaShow
The null idea says nothing special is going on, and the alternative is what we suspect. The p-value is the chance, if the null idea were true, of a result at least as extreme as the one seen.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. .
Step 2. : significant at . : not significant at .
Answer: about . Significant at but not at . A new simulation would give a slightly different estimate, so a value this close to should be stated with care.
Discussion (0)
Log in to join the discussion.
Loading…