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 0.10 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? What is the test statistic? what is the p-value? Cents portion of check 0-24 25-49 50-74 75-99 Number 31 23 18 28 CHI-SQUARE: 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
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 0.10 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? What is the test statistic? what is the p-value? Cents portion of check 0-24 25-49 50-74 75-99 Number 31 23 18 28 CHI-SQUARE: 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
0.10 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?
What is the test statistic?
what is the p-value?
Cents portion of check |
0-24 |
25-49 |
50-74 |
75-99 |
|
Number |
31 |
23 |
18 |
28 |
|
CHI-SQUARE:
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
|
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