Solution

ID: past-exam-of-the-options-i-course-of-the-university-of-oxford/2006/o/o1/iii/solution

The expected counts in the final two separate classes are too small for a reliable chi-squared asymptotic approximation. Pooling the last three classes gives the tail class , with observed frequency and expected frequency . This exceeds the usual expected-count guideline of 5. Pooling only the last two would leave an expected count of , still too small. Pooling requires recomputing the contribution from the pooled totals, rather than adding the old separate contributions.

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