What is the range of values for the p value?

Question

This is for a stats class. Im pretty sure its 0 < p < 1, but Im having doubts in the back of my mind Can someone verify this?

Answer 1

p is a probability. So you're almost right - the question is, can you have a p value of 0 or 1?
And the answer is yes. Although nearly every single statistical test you will use will never give 0 or 1, it is theoretically possible.

Answer 2

That's always the safe answer because any probability must be in that range. The p-value is the probability of getting a test statistic worse than what you've calculated. Note that worst depends on whether you're doing a one or two sided test. As an expample, lets say that you have a normal distribution and your test statistic in the mean. For a one sided test the p-value is 1/2 for a two sided test it's 1.

Answer 3

The "p-value" of a test usually identifies the probability of the test results happening by luck or random chance. So the p-value is a probability, which can be zero or one, or any number in between.

Answer 4

We'd need to know your specific problem before we could say.

In general, the probability of any event is always somewhere between 0 to 1, inclusive; i.e., 0 ≤ P ≤ 1.

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Answer 5

the p-value is given the null is true, this is the probability that you will draw an extreme value from your sample. and yes for hypothesis testing the p-value must be greater than zero and less than 1