Hypothesis Tests determine the probabilities of differences between observed data and the hypothesis being solely due to chance. This is determined based on the result of the ______________.

Question

Options

• ARandom acts
• BP-values
• CStandard Deviations
• DR-values

• A
  9% (4)
• B
  73% (33)
• C
  13% (6)
• D
  4% (2)

Explanation

P-values (B) are the statistical output of a hypothesis test that quantify exactly what the question describes: the probability that the observed difference between your data and the null hypothesis occurred by chance alone. A small p-value (typically < 0.05) means the result is unlikely due to chance, giving grounds to reject the null hypothesis.

Why the distractors are wrong:

• A (Random acts) is not a statistical concept - hypothesis tests are designed to measure randomness, not be defined by it.
• C (Standard deviations) measure spread/variability within a dataset; they're inputs used in calculating test statistics, but don't themselves express the probability of a chance result.
• D (R-values) are correlation coefficients that measure the strength of a linear relationship between variables - a separate concept from hypothesis testing probability.

Memory tip: Think of P = Probability of chance. The "P" in p-value literally stands for probability, and its whole job is answering "how probable is this result if only chance is at play?"

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