What probability indicates the p-value? (more than one answer possible)

a: The probability of a type I error.

b: The probability of a type II error.

c: The probability of rejecting the alternative hypothesis when it is false.

d: The probability of rejecting the null hypothesis when it is false.

I think None of the following answers is correct. Can anyone answer this question and explain to me?

• self-study? please add the tag if so. – Xi'an Apr 5 '15 at 18:28
• Check other questions tagged p-value: stats.stackexchange.com/questions/tagged/p-value I am sure you'll find there multiple relevant answers. Also check the tour on how the site works: stats.stackexchange.com/tour – Tim Apr 5 '15 at 19:26
• I already put my effort on this question and understand that Type I Error is defined as rejecting the null hypothesis when it is in fact true. Type II error is defined as not rejecting the null hypothesis when it is false. p-value is the region when I want to make a decision about rejecting null hypothesis. However, I am not quite sure about this question, so I need help. Does anybody can help? – Nong Nick Apr 5 '15 at 19:40
• Well this is rather upsetting. How about "Between zero and four answers possible"? See this paper distinguishing $\alpha$ from $p$ – conjugateprior Apr 5 '15 at 20:38
• Genau. None are correct. P is not a type 1 (or a type 2) error rate, although it seems that your textbook or instructor thinks it is. – conjugateprior Apr 5 '15 at 23:14