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# Chi square test for Multinomial experiments

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Testing a slot machine. The author purchased a slot machine (Bally Model 809), and tested it by playing it 1197 times. When testing the claim that the observed outcomes agree with the expected frequencies, a test statistic of =8.185 was obtained. There are 10 different categories of outcome, including no win, win jackpot, win with three bells and so on.

a. Find the critical value assuming that the significance level is 0.05
b. What can you conclude about the P-value if you know that the test statistic is and there are 10 categories?
c. State a conclusion about the claim that the observed outcomes agree with the expected frequencies. Does the author's slot machine appear to be working correctly?

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#### Solution Summary

The solution gives the test statistic an p value for testing of a slot machine (multinomial experiments). Interpretation of the results are also given.

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