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 1,252 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=18.307. 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?   a. The test statistic is (Type an integer or a decimal. Do not​ round.)   b. The critical value is ​(Round to three decimal places as​ needed.)

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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 1,252 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=18.307. 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?

 

a. The test statistic is
(Type an integer or a decimal. Do not​ round.)
 
b. The critical value is
​(Round to three decimal places as​ needed.)
Degrees of
Freedom
1
2
3
4
5
678099
10
0.995
0.010
0.072
0.207
0.412
0.676
0.989
1.344
1.735
2.156
0.99
0.020
0.115
0.297
0.554
0.872
1.239
1.646
2.088
2.558
Area to the Right of the Critical Value
0.975
0.001
0.051
0.216
0.484
0.831
1.237
1.690
2.180
2.700
3.247
0.95
0.004
0.103
0.352
0.711
1.145
1.635
2.167
2.733
3.940
0.90
0.016
0.211
0.584
1.064
1.610
2.204
2.833
3.490
4.168
4.865
0.10
2.706
4.605
6.251
7.779
9.236
10.645
12.017
13.362
14.684
15.987
Transcribed Image Text:Degrees of Freedom 1 2 3 4 5 678099 10 0.995 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 0.99 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 Area to the Right of the Critical Value 0.975 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 0.95 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.940 0.90 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 0.10 2.706 4.605 6.251 7.779 9.236 10.645 12.017 13.362 14.684 15.987
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