Answered: The test statistic is ___ (Type an…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.

A person purchased a slot machine and tested it by playing it 1,161 times. There are 10 different categories of outcomes, including no win, win jackpot, win with threebells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of χ2=21.068. Use a 0.025 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?

The test statistic is ___

(Type an integer or a decimal. Do not round.)

The critical value is ___

(Round to three decimal places as needed.)

State the conclusion.

(reject/do not reject) H₀. There (is not/is) sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine (does not appear/appears) to be functioning as expected.

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