Conduct the hypothesis test and provide the test statistic, critical value and P

Question

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1, 233 times. There are 10 different categories of outcomes, including no win, win jackpot, win with three bells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of chi^2 = 18.577. Use a 0.05 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as expected? The test statistic is. (Type an integer or a decimal.) The critical value is. The P-value is. State the conclusion. H_0. There sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine to be functioning as expected.

Explanation / Answer

Ho: Actual outcomes agree with the expected frequencies

H1: Actual outcomes are not agree with the expected frequencies

a) The chi-square test statistic = 18.6

b) At alpha = 0.05 level with 10-1 = 9 degrees of freedom , the chi-square critical value = 16.919

c) The 'P' Value = 0.0288

d) Therefore P<0.05; Hence we Reject Ho.

Conclusion: Reject Ho. There is sufficient evidence to warrent rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine is appered to be functioning as expected

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