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)
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Chapter8: Sequences, Series, And Probability
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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?
 
-State the 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
Number
0-24
25-49
50-74
75-99
54
12
18
16
Click here to view the chi-square distribution table.
The test statistic is 45.600.
(Round to three decimal places as needed.)
The critical value is 9.348 .
(Round to three decimal places as needed.)
State the conclusion.
V Ho. There
sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results
to support the expectation that the frequency for the first category is
disproportionately high.
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 Number 0-24 25-49 50-74 75-99 54 12 18 16 Click here to view the chi-square distribution table. The test statistic is 45.600. (Round to three decimal places as needed.) The critical value is 9.348 . (Round to three decimal places as needed.) State the conclusion. V Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category is disproportionately high.
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