In quantitative research, inferential statistics are numerical values that enable a researcher to reach conclusions that extend beyond the immediate data alone. Which inferential statistic describes the probability of a particular result occurring by chance alone?

Choice A reason: Pearson's r correlation measures the strength and direction of a linear relationship between two variables. It does not directly indicate the probability of a result occurring by chance, although it may be used alongside inferential statistics to assess significance. Choice B reason: The p-value is a statistical measure that indicates the probability of obtaining the observed results, or more extreme ones, assuming the null hypothesis is true. It is the primary tool used to determine statistical significance and assess whether findings are likely due to chance. A low p-value suggests that the observed effect is unlikely to be due to random variation alone. Choice C reason: Probability is a general concept in statistics that refers to the likelihood of an event occurring. While foundational, it is not a specific inferential statistic used to test hypotheses or determine significance in research findings. Choice D reason: The t-test is a statistical test used to compare the means of two groups. It helps determine whether differences between groups are statistically significant. However, the t-test produces a p-value, which is the actual statistic that describes the probability of the result occurring by chance.