What is the effect of a small p-value in hypothesis testing?

Prepare for the CITI Research Study Design Test. Utilize flashcards and multiple choice questions, with hints and explanations. Ace your exam!

A small p-value in hypothesis testing indicates strong evidence against the null hypothesis. In statistical terms, the p-value measures the probability of observing data as extreme as, or more extreme than, what was actually observed, assuming that the null hypothesis is true. When this value is small (typically less than a significance level such as 0.05), it suggests that such extreme data would be quite unlikely under the null hypothesis. This leads researchers to consider rejecting the null hypothesis in favor of the alternative hypothesis, which posits that there is an effect or a difference to be explored.

The other options do not accurately relate to the implications of a small p-value. While the notion of correlation might be relevant in some contexts, a small p-value specifically does not denote the absence of correlation or infer reliability of data points in general terms. Similarly, it does not address issues of data dispersion or reliability directly; rather, it is a formal evaluation of evidence concerning the hypothesis being tested.

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