Final answer:
The probability of detecting a departure from H0 depends on the significance level and the p-value. If the p-value is less than the significance level, we can conclude there is evidence of a departure.
Step-by-step explanation:
The probability of detecting this departure from H0 depends on the significance level, which is typically denoted as alpha (α). If the p-value of the test statistic is less than alpha, we reject the null hypothesis (H0) and conclude that there is evidence of a departure. In this case, the probability of detecting the departure would be 1 - alpha.
For example, if alpha is set to 0.05 (5%), and the p-value is calculated to be 0.03, then the probability of detecting the departure from H0 is 1 - 0.05 = 0.95 or 95%.
It's important to note that the specific calculation and interpretation of the probability may vary depending on the context and statistical test being used.