Let us reconsider the problem presented in Example 11 2b A simulation study yielded the result and so the critical value should be 9 52381, which is remarkably close to 2 05,4 9 488 given as the critical value by the chi square approximation This is most interesting since the rule of thumb for when...

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Let us reconsider the problem presented in Example 11.2b. A simulation study yielded the result and so

Question:

Let us reconsider the problem presented in Example 11.2b. A simulation study yielded the result

and so the critical value should be 9.52381, which is remarkably close to χ2 .05,4 = 9.488 given as the critical value by the chi-square approximation. This is most interesting since the rule of thumb for when the chi-square approximation can be applied—namely, that each npi ≥ 1 and at least 80 percent of the npi exceed 5 — does not apply, thus raising the possibility that it is rather conservative. ■
Program 11.2.2 can be utilized to determine the p-value.
To obtain more information as to how well the chi-square approximation performs, consider the following example.

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