In a one-sample z-test,the term "statistically significant difference" tells you _____.
A)your sample mean differs from the hypothesized value by more than would be expected from sampling error alone
B)the difference between your sample mean and the hypothesized value is large and meaningful in the "real world"
C)there is a non-zero correlation coefficient between your independent and dependent variables
D)all of these

Question

Quizplus · Accepted Answer

In a one-sample z-test, a statistically significant difference means that your sample mean differs from the hypothesized value by more than would be expected from sampling error alone. This indicates that the probability of obtaining the observed difference by chance is very low, and therefore provides evidence to reject the null hypothesis. The term "statistically significant difference" does not imply anything about the size or practical importance of the difference, which may require further interpretation and context-specific analysis. Choices B and C are not accurate descriptions of the meaning of statistical significance in the context of a one-sample z-test.

In a One-Sample Z-Test,the Term "Statistically Significant Difference" Tells You