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?

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 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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
54
17
16
13
 
 
Click here to view the chi-square distribution table.
https://biology-forums.com/index.php?action=gallery;sa=view;id=5051 
 
The test statistic is??
​(Round to three decimal places as​ needed.)
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