Answer true or false for each of the following, and explain your answer: (a) P(Type II error)
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Answer true or false for each of the following, and explain your answer:
(a) P(Type II error) = 1 − P(Type I error).
(b) If we reject H0 using α = 0.01, then we also reject it using α = 0.05.
(c) The P-value is the probability that H0 is true. (Hint:
Do we find probabilities about variables and their statistics, or about parameters?)
(d) An article in an anthropology journal reports P =
0.063 for testing H0: μ = 0 against Ha: μ = 0. If the authors had instead reported a 95% confidence interval for
μ, then the interval would have contained 0, and readers could have better judged just which values are plausible for μ.
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