Solution

ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2004/o/o1/ii/solution

Separate high-count classes have very small expected frequencies, making the chi-square approximation unreliable. Pooling the upper tail gives a class with expected count about , comfortably above the customary small-cell threshold. The pooling protects the asymptotic test approximation, while retaining the tail count as part of the goodness-of-fit comparison.

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