Suppose you hypothesized that the mean of X is 7. You then collect a sample of observations of X. Using statistical theory, you know that, if the mean of X is 7, the probability that your sample average is above 9 or below 5 is 0.05. If you observe a sample mean of 10:
A. You make the inductive argument that the probability that your sample average is above 9 or below 5 is 0.05. The strength of this argument is 95%.
B. You make the deductive argument that the probability that your sample average is above 9 or below 5 is not 0.05. The strength of this argument is 95%.
C. You make the inductive argument that the probability that your sample average is above 9 or below 5 is not 0.05. The strength of this argument is 5%.
D. None of the answers is correct.
Answer: D
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