Your friend likes to show off to his coworkers using statistical terminology, but he makes errors so much that you often have to correct him. He just completed the following hypothesis test: H0 : μ = 100 ; HA : μ ≠ 100 x = 105, s = 10, n = 40 p-value = 0.0016 He claims the definition of this p-value is "the probability of obtaining a sample mean of 105 from a random sample of n = 40 when the true population mean is assumed to be 100." Which of the following is true? a. Your friend is wrong, the sample size is irrelevant.
b. Your friend is right.
c. Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 from a random sample of n = 40 when the true population mean is assumed to be different than 105."
d. Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 or more extreme from a random sample of n = 40 when the true population mean is assumed to be 100."