A person purchased a slot machine and tested it by playing it 1 comma 2771,277 times. There are 1010 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 squaredχ2equals=14.52214.522. Use a 0.0250.025 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?
A person purchased a slot machine and tested it by playing it 1 comma 2771,277 times. There are 1010 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 squaredχ2equals=14.52214.522. Use a 0.0250.025 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
functioning as expected?
1 comma 2771,277 times. There are 1010
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 squaredχ2equals=14.52214.522. Use a 0.0250.025
significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be 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
|
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
|
The test statistic is
there is two part
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