Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,287 times. There are 10...

Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.

A person purchased a slot machine and tested it by playing it

1,287 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

χ2

13.614. Use a

0.025 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?

what is the test statistic?

what is the p-value?

chi-square:

Degrees of Freedom	0.995	0.99	0.975	0.95	0.90	0.10	0.05	0.025	0.01	0.005

1	-	-	0.001	0.004	0.016	2.706	3.841	5.024	6.635	7.879

2	0.010	0.020	0.051	0.103	0.211	4.605	5.991	7.378	9.210	10.597
3	0.072	0.115	0.216	0.352	0.584	6.251	7.815	9.348	11.345	12.838
4	0.207	0.297	0.484	0.711	1.064	7.779	9.488	11.143	13.277	14.860
5	0.412	0.554	0.831	1.145	1.610	9.236	11.071	12.833	15.086	16.750
6	0.676	0.872	1.237	1.635	2.204	10.645	12.592	14.449	16.812	18.548
7	0.989	1.239	1.690	2.167	2.833	12.017	14.067	16.013	18.475	20.278
8	1.344	1.646	2.180	2.733	3.490	13.362	15.507	17.535	20.090	21.955
9	1.735	2.088	2.700	3.325	4.168	14.684	16.919	19.023	21.666	23.589
10	2.156	2.558	3.247	3.940	4.865	15.987	18.307	20.483	23.209	25.188

Jun 10, 2022

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Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,287 times. There are 10...

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Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,287 times. There are 10...

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Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,287 times. There are 10...