MYLABSTATISTICS
MYLABSTATISTICS
13th Edition
ISBN: 9781323745175
Author: Pearson
Publisher: PEARSON
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Chapter 11.2, Problem 7BSC

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 functioning as expected?

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Classify 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.
4. Explain the procedure for testing a hypothesis using the P-value approach? What is the criterion for judging whether to reject the null hypothesis?
In Exercises 9–16, (a) write the claim mathematically andidentify and (b) find the critical value(s) and identify the rejectionregion(s), (c) find the standardized test statistic z, (d) decide whether to reject orfail to reject the null hypothesis, and (e) interpret the decision in the context of theoriginal claim. If convenient, use technology to find the standardized test statistic. A research center claims that at least 40% of U.S. adults think the Census count is accurate. In a random sample of 600 U.S. adults, 35% say that the Census count is accurate. At ⍶ = 0.02 is there enough evidence to reject the center’s claim?

Chapter 11 Solutions

MYLABSTATISTICS

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