Question: Testing a slot machine Slot machine tested 1197 times, when testing the claim that the observed outcome 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.

a. Find the critical value assuming that the significance level is 0.05

b. What can you conclude that the p value from the ${{\chi }^{2}}$ distribution if you know that the test statistic is ${{\chi }^{2}}$ = 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 slot machine appear to be working correctly