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| Number 50-74 12 0-24 25-49 75-99 60 10 18 i Chi-square distribution table Click here to view the chi-square distribution table, The test statistic is O. Area to the Right of the Critical Value (Round to three decimal places as needed.) Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 6 0.676 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.690 2.167 2.833 12.017 2.180 2.700 8 1.344 1.646 2.733 3.490 13.362 9 1.735 2.088 3.325 4.168 14.684 10 2.156 2.558 3.247 3.940 4,865 15.987

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The test statistic is
​(Round to three decimal places as​ needed.
 
Determine the critical value ​(Round to three decimal places as​ needed.)
 
Conclusion 
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
25-49
50-74
75-99
Number
60
10
12
18
Chi-square distribution table
Click here to view the chi-square distribution table.
The test statistic is
Area to the Right of the Critical Value
(Round to three decimal places as needed.)
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
1
0.001
0.004
0.016
2.706
2
0.010
0.020
0.051
0.103
0.211
4.605
3
0.072
0.115
0.216
0.352
0.584
6.251
4
0.207
0.297
0.484
0.711
1.064
7.779
5
0.412
0.554
0.831
1.145
1.610
9.236
6
0.676
0.872
1.237
1.635
2.204
10.645
7
0.989
1.239
1.690
2.167
2.833
12.017
1.344
1.646
2.180
2.733
3.490
13.362
1.735
2.088
2.700
3.325
4.168
14.684
10
2.156
2.558
3.247
3.940
4.865
15.987
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 25-49 50-74 75-99 Number 60 10 12 18 Chi-square distribution table Click here to view the chi-square distribution table. The test statistic is Area to the Right of the Critical Value (Round to three decimal places as needed.) Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 5 0.412 0.554 0.831 1.145 1.610 9.236 6 0.676 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.690 2.167 2.833 12.017 1.344 1.646 2.180 2.733 3.490 13.362 1.735 2.088 2.700 3.325 4.168 14.684 10 2.156 2.558 3.247 3.940 4.865 15.987
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