Suppose we have conducted a t test, with = 0.05 and the P-value is 0.03. For

Question:

Suppose we have conducted a t test, with α = 0.05 and the P-value is 0.03. For each of the following statements, say whether the statement is true or false and explain why.
(a) We reject H0 with α = 0.05.
(b) We have significant evidence for HA with α = 0.05.
(c) We would reject H0 if a were 0.10.
(d) We do not have significant evidence for HA with α = 0.10.
(e) If H0 is true, the probability of getting a test statistic at least as extreme as the value of the ts that was actually obtained is 3%.
(f) There is a 3% probability that H0, is true.