Answer the following true or false. If false, explain why. a. We can reduce α (alpha) by pushing the critical regions further into the tails of the distribution. b. A decrease in the probability of the type II error always results in an increase in the probability of the type I error, provided that the sample size n does not change. c. The p-value of a left-sided hypothesis test is always half of a two-sided hypothesis test.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Answer the following true or false. If false, explain why.

a. We can reduce α (alpha) by pushing the critical regions further into the tails of the distribution.

b. A decrease in the probability of the type II error always results in an increase in the probability of the type I error, provided that the sample size n does not change.

c. The p-value of a left-sided hypothesis test is always half of a two-sided hypothesis test.

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