Question: For each of the following statements, state whether it is true or false.

If the statement is false, explain why, or correct the statement to make it true.

(a) Sample evidence can prove that a null hypothesis is true.

(b) When testing a claim about a population mean, if the sample size, n, is less than 30, neither a z-test nor a t-test can be used.

(c) In a statistical test of hypotheses, the probability of a Type I error is given by α.