In a test of significance, P value is 0.023 the observed difference in study can be considered as-
**Core Concept**
The P value is a statistical measure used to determine the significance of a result, indicating the probability of observing the data or an event more extreme than what was observed, assuming that the null hypothesis is true. In this context, the null hypothesis typically states that there is no significant difference between groups or no association between variables.
**Why the Correct Answer is Right**
A P value of 0.023 indicates that if there is no real difference between the groups being compared, there would be only a 2.3% chance of observing the results obtained. This low probability suggests that the observed difference is statistically significant, and the null hypothesis can be rejected. The observed difference is likely due to a real effect rather than chance.
**Why Each Wrong Option is Incorrect**
**Option A:** Incorrect because it is not clear what "borderline significance" means in this context. While a P value of 0.05 is often used as a threshold for significance, the question does not provide enough information to determine whether the observed difference is "borderline" or not.
**Option B:** Incorrect because it is not relevant to the P value. The term "statistical power" refers to the ability of a study to detect a true effect, but it is not directly related to the P value.
**Clinical Pearl / High-Yield Fact**
When interpreting P values, it's essential to remember that a P value below a certain threshold (usually 0.05) indicates statistical significance, but it does not necessarily imply clinical significance. A clinically significant result may not always be statistically significant, and vice versa.
**Correct Answer: C. The observed difference in study can be considered as statistically significant.**