lues. Use a 0.025 significance level to test the claim that the four categories are equally likely. The perso disproportionately high frequency for the first category, but do the results support that expe uld result in a on of check 0-24 58 25-49 11 50-74 17 75-99 14 › view the chi-square distribution table tistic is. ree decimal places as needed.) value is. ree decimal places as needed.) nclusion. Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equ

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Question
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.
A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the
indicated values. Use a 0.025 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar
amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation?
Cents portion of check
0-24
58
25-49
11
50-74
17
75-99
14
Number
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.
to
Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results
support the expectation that the frequency for the first category is disproportionately high.
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.025 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation? Cents portion of check 0-24 58 25-49 11 50-74 17 75-99 14 Number 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. to Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results support the expectation that the frequency for the first category is disproportionately high.
Chi-square distribution table
Area to the Right of the Critical Value
egrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210
10.
0.072
0.115
0.216
0.352
0.584
6.251
7.815 9.348
11.345
12.
0.207
0.297
0.484
0.711
1.064
7.779
13.277 14.
9.488 11.143
11.071 12.833
0.412
0.554 0.831
1.145
1.610
16.
0.676
0.872
1.237
1.635
2.204
18.
0.989
1.239
1.690 2.167
2.833
9.236
15.086
10.645 12.592 14.449 16.812
12.017 14.067 16.013 18.475 20.
20.090 21.
21.666 23.
1.344
1.646 2.180 2.733
3.490
13.362 15.507 17.535
14.684 16.919 19.023
1.735
2.088
2.700
3.325
4.168
2.156
2.558
3.247
3.940 4.865
15.987
18.307 20.483 23.209
25.
1234 g
5
6
7
8
9
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Print
Done
Transcribed Image Text:Chi-square distribution table Area to the Right of the Critical Value egrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.1 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7. 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10. 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12. 0.207 0.297 0.484 0.711 1.064 7.779 13.277 14. 9.488 11.143 11.071 12.833 0.412 0.554 0.831 1.145 1.610 16. 0.676 0.872 1.237 1.635 2.204 18. 0.989 1.239 1.690 2.167 2.833 9.236 15.086 10.645 12.592 14.449 16.812 12.017 14.067 16.013 18.475 20. 20.090 21. 21.666 23. 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 14.684 16.919 19.023 1.735 2.088 2.700 3.325 4.168 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25. 1234 g 5 6 7 8 9 10 Print Done
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