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 56 14 18 12   The test statistic is ____ ​(Round to three decimal places as​ needed.) The critical value is ____. ​(Round to three decimal places as​ needed.)

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 6E: List the sample space of each experiment. Tossing three coins
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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
56
14
18
12
 


The test statistic is ____ ​(Round to three decimal places as​ needed.)

The critical value is ____. ​(Round to three decimal places as​ needed.)

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