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Is the age of this very old man statistically believable?

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Reaction Timer Timer

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Chi-squared Faker

How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?

Hypothetical Shorts

Age 16 to 18 Challenge Level:
You may find it helpful to use the interactives in Robin's Hypothesis Testing or Powerful Hypothesis Testing as you are working on this problem.  For each statement, think about what it is claiming, and test it out by running an experiment.  Does the experiment support or refute the statement?

Some of the statements are subtle and easy to misinterpret.  Sometimes, the interactives mentioned above will answer a different question from the one being asked.  For example, statement 4 begins "If the p-value is less than 0.05, ...", but you cannot control the p-value in the simulations (why not?).  Instead, you might want to think about other representations of the situation first, before or instead of running a simulation.  Tree diagrams will be particularly helpful here.