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 x2 5 8.185 was obtained. There are ten 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 from Table A-4 if you know that the test statistic is x2 5 8.185 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?