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Unformatted text preview: (The following material is not covered in the textbook.) Example – calculating powers for testing hypotheses about proportions Let p denote the unknown probability that a coin comes up heads. The coin is tossed 144 times and the number of heads, x , is observed. (a) What is the rejection region for testing H 0 : p = 0.5 vs. H a : p ≠ 0.5 at the 10% significance level? (b) What is the probability of a Type II error when the true value of p is 0.4? (c) What is the power of this test when the true value of p is 0.4? (d) What is the power of this test when the true value of p is 0.55? (0.3295)...
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 Winter '07
 Dan
 Statistics, Probability, Null hypothesis, Statistical hypothesis testing, Statistical significance, Type I and type II errors, mpg

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