Consider the following statements:

(i) If a researcher fails to reject the null hypothesis, then the alternative hypothesis should be accepted.

(ii) The significance level and the probability of a Type I error are equivalent.

(iii) Increasing the probability of a Type I error by 1% decreases the probability of a Type II error by 1%.

(iv) The critical region (or decision rule) of a test, indicates when to reject the alternative hypothesis.

Which one of the following is true?

a.

(iii) is true

b.

(i) and (iii) are true

c.

(i) and (ii) are true

d.

(ii) and (iv) are true

e.

None of the suggested answers are correct