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In Exercises 5–20, conduct the hypothesis test and provide the test statistic and the P-value and /or critical value, and state the conclusion.
5. Testing a Slot Machine The author purchased a slot machine (Bally Model 809) and tested it by playing it 1197 times. There are 10 different categories of outcomes, including no win, win jackpot, win with three bells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of χ2 = 8.185. Use a 0.05 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be
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- What is meant by the sample space of an experiment?arrow_forwardWhat is the difference between events and outcomes? Give an example of both using the sample space of tossing a coin 50 times.arrow_forwardClassify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1992, the average math SAT score for students at one school was 479. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1992 mean of 479. The hypotheses are: H0:μ =479 H1:μ ≠479 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1992 mean of 479.arrow_forward
- In Exercises 5–20, conduct the hypothesis test and provide the test statistic and the P-value and/or critical value, and state the conclusion. Police Calls The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies?arrow_forward4. Explain the procedure for testing a hypothesis using the P-value approach? What is the criterion for judging whether to reject the null hypothesis?arrow_forwardState the general steps of the P-value approach to hypothesis testing.arrow_forward
- In Exercise conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion. Testing a Slot Machine The author purchased a slot machine (Bally Model 809) and tested it by playing it 1197 times. There are 10 different categories of outcomes, including no win, win jackpot, win with three bells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of X2 = 8.185. Use a 0.05 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as expected?arrow_forwardFor the chi-square test of independence, how the hypothesis is formulated, and what are the expected outcomes?arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning