The ph of an acid solution used to etch aluminum varies somewhat from batch to batch. in a random sample of 65 batches, the mean ph was 2.5. let µ represent the mean ph for all batches of this solution. suppose that the p-value for testing h0 : μ = 2.5 versus h1 : μ > 2.5 turns out to be 0.014.
which of the following is the best interpretation of the p-value?

a) there is a 1.4% probability that the mean of all the batches is equal to 2.5.
b) there is a 1.4% probability that the mean of all the batches is greater than 2.5.
c) if the mean of all the batches is actually equal to 2.5, then the observed sample mean is in the most extreme 1.4% of its distribution
d) if the mean of all the batches is actually greater than 2.5, then the observed sample mean is in
the most extreme 1.4% of its distribution