STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Lambeau Field, home of the Green Bay Packers, has a reputation for being favorable to the home team. Is there convincing evidence of this? In the 2008-2010 regular seasons, the Packers were 17-7 at home and 10-14 on the road. What is the alternative hypothesis
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Ho:The Green Bay Packers have the same ability to win at home as they do on the road.
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Ho:The Green Bay Packers have a greater ability to win at home than they do on the road.
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Ha:The Green Bay Packers have the same ability to win at home as they do on the road.
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Ha:The Green Bay Packers have a greater ability to win at home than they do on the road.
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Explanation:
Detailed explanation-1: -Level of Significance Symbol The results are written as “significant at x%”. Example: The value significant at 5% refers to p-value is less than 0.05 or p < 0.05. Similarly, significant at the 1% means that the p-value is less than 0.01. The level of significance is taken at 0.05 or 5%.
Detailed explanation-2: -The p-value is calculated using the sampling distribution of the test statistic under the null hypothesis, the sample data, and the type of test being done (lower-tailed test, upper-tailed test, or two-sided test). The p-value for: a lower-tailed test is specified by: p-value = P(TS ts | H 0 is true) = cdf(ts)
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