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Exercise

A p-value two ways

In this exercise you'll find out if the observed chi-squared statistic is unusually large under the following notion that,

\(H_0\): Region is independent of Happy.

The competing notion is the alternative hypothesis that there is an association between these variables. For the sake of comparison, you'll be finding the p-value first from the computational approach, then use the approximation.

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Generate a distribution of the "Chisq" statistic under a null hypothesis of independence between happy and region. Save this object to null.