[Steps Shown] Testing a Slot Machine One of the authors purchased a slot machine (Bally Model 809), and tested it by playing it 1197 times. When testing the
Question: Testing a Slot Machine One of the authors 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 \(\chi^{2}=8.185\) was obtained. There are 10 different categories of outcome, including no win, win jackpot, win with three bells, and so on.
- Find the critical value assuming that the significance level is 0.05.
- What can you conclude about the \(P\) -value from Table A-4 if you know that the test statistic is \(\chi^{2}=8.185\) and there are 10 categories?
- 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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