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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
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 53 17 16 14Chisquare distribution table Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 - - 0.001 0.004 0.015 2.705 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 5.251 4 0.207 0.297 0.484 0.711 1.064 7.779 5 0.412 0.554 0.831 1.145 1.610 9.235 5 0.575 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.590 2.157 2.833 12.017 8 1.344 1.645 2.180 2.733 3.490 13.352 9 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 . The test statistic is . (Round to three decimal places as needed.)
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