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# Ch21 - α = 5 In general a confidence interval with a...

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Statistically significant and Alpha levels If our p-value falls below a certain value, we’ll reject the null hypothesis. We call such results statistically significant. The certain value that gives us a threshold is called an alpha level. Common α levels are 0.10, 0.05, and 0.01 (the most common being 0.05). The alpha level is also called the significance level. When we reject the null hypothesis, we say that the test is “significant at that level.”
Finding Alpha (2-sided Test) Since confidence intervals are naturally two-sided, they correspond to two-sided tests. For example, a 95% confidence interval corresponds to a two-sided hypothesis test at

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Unformatted text preview: α = 5%. In general, a confidence interval with a confidence level of C% corresponds to a two-sided hypothesis test with an α level of 100 – C%. Finding Alpha (1-sided Test) • For a one-sided test with α = 5%, the corresponding confidence interval has a confidence level of 90% (5% in each tail). In general, a confidence interval with a confidence level of C% corresponds to a one-sided hypothesis test with an α level of )% 100 ( 2 1 C-Type I and Type II Error (Don’t need to know) • A Type I error is when you reject Ho in which it is actually true. This happens when we drew an unusual sample. • A Type II error is when we accept Ho in which it is actually false....
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