Suppose That We Open a Randomly Chosen Book and Examine

question 160

Multiple Choice

Suppose that we open a randomly chosen book and examine its first and last sentences.We label the first sentence as p and use it as the premise of a syllogism.And we label the last sentence as q and use it as the conclusion of that same syllogism.Is it always possible to create a valid syllogism by adding "If p, then q" as a second premise?

• A)Yes, but the hypothetical premise might strain credibility.
• B)Yes, but only because they come from the same book.
• C)No, because p and q might be completely unrelated.
• D)No, because the resulting syllogism would be invalid.
• E)No, because if that worked, you could use any proposition to argue for any other proposition.

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Significance level is a threshold in hypothesis testing, denoted as alpha, representing the probability of rejecting the null hypothesis when it is true, used to ascertain the strength of the evidence against the null hypothesis.

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In hypothesis testing, it's the threshold below which a p-value suggests that the observed data are unlikely under the null hypothesis, leading to its rejection.