Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2.3, 4, 5, and 6, respectively. 29, 30, 41, 41, 26, 33. Use a 0.025 significance level to test the claim that the outcomes are not equally ikely. Does it appear that the loaded die behaves differently than a fair die? Click here to view.the chi sauare distribution table. The test statistic is (Round to three decimal places as needed.) 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 drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1. 2. 3, 4, 5,
and 6, respectively. 29, 30, 41, 41, 26, 33. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die
behaves differently than a fair die?
Click here to view the chi-square distribution table.
The test statistic is
(Round to three decimal places as needed.)
| The critical value is
(Round to three decimal places as needed.)
State the conclusion.
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1. 2. 3, 4, 5, and 6, respectively. 29, 30, 41, 41, 26, 33. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.) | The critical value is (Round to three decimal places as needed.) State the conclusion.
Area to the Right of the Critical Value
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
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
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
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 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 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 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
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