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...

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.