Your friend likes to show-off to his co-workers using statistical terminology, but he makes so much errors, 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? Only focus on interpretations.
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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."
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