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 1,130 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=9.888. Use a 0.10 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?   *See pics of table attached to view the chi-square distribution table. The test statistic is ____.

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Author:Amos Gilat
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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 1,130 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=9.888.

Use a 0.10 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?
 
*See pics of table attached to view the chi-square distribution table.
The test statistic is ____.
Area to the Right of the Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0,90
0.10
1
0.001
0.004
0.016
2.706
3
0.010
0.020
0.051
0.103
0.211
4.605
3
0.072
0.115
0.216
0.352
0.584
6.251
4
0.207
0.297
0.484
0.711
1.064
7.779
0.412
0.554
0.831
1.145
1.610
9.236
11
0.676
0.872
1.237
1.635
2.204
10.645
12
7
0.989
1.239
1.690
2.167
2.833
12.017
14
1.344
1.646
2.180
2.733
3.490
13.362
15
3.325
14.684
16
4.168
4/865
1.735
2.088
2.700
10
2.156
2.558
3.247
3.940
15.987
18
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Transcribed Image Text:Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0,90 0.10 1 0.001 0.004 0.016 2.706 3 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 11 0.676 0.872 1.237 1.635 2.204 10.645 12 7 0.989 1.239 1.690 2.167 2.833 12.017 14 1.344 1.646 2.180 2.733 3.490 13.362 15 3.325 14.684 16 4.168 4/865 1.735 2.088 2.700 10 2.156 2.558 3.247 3.940 15.987 18 Print Done
0.10
0.05
0.025
0.01
0.005
2.706
3.841
5.024
6.635
7.879
4.605
5.991
7.378
9.210
10.597
6.251
7.815
9.348
11.345
12.838
7.779
9.488
11.143
13.277
14.860
9.236
11.071
12.833
15.086
16.750
10.645
12.592
14.449
16.812
18.548
12.017
14.067
16.013
18.475
20.278
13.362
15.507
17.535
20.090
21.955
14.684
16.919
19.023
21.666
23.589
15.987
18.307
20.483
23.209
25.188
Transcribed Image Text:0.10 0.05 0.025 0.01 0.005 2.706 3.841 5.024 6.635 7.879 4.605 5.991 7.378 9.210 10.597 6.251 7.815 9.348 11.345 12.838 7.779 9.488 11.143 13.277 14.860 9.236 11.071 12.833 15.086 16.750 10.645 12.592 14.449 16.812 18.548 12.017 14.067 16.013 18.475 20.278 13.362 15.507 17.535 20.090 21.955 14.684 16.919 19.023 21.666 23.589 15.987 18.307 20.483 23.209 25.188
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