Final answer:
The p-value for a statistically significant result, especially at a very low level of significance, is one that is smaller than the conventional alpha levels of 0.05 or 0.01. Option A) 0.001 is the correct answer as it indicates a strong basis to reject the null hypothesis.
Step-by-step explanation:
When we conduct a hypothesis test, the p-value helps us decide whether to reject the null hypothesis. This value indicates the probability of obtaining test results at least as extreme as the ones observed during the test, under the assumption that the null hypothesis is true. If the p-value is less than the chosen level of significance (α, alpha), we have enough evidence to reject the null hypothesis.
In the context of the question, we are dealing with a very low level of significance. Usually, significant levels such as α5% (α0.05) or 1% (α0.01) are considered to be standard benchmarks for hypothesis testing. Therefore, a statistically significant result would have a p-value that is less than the level of significance. Thus, among the given options, A) 0.001 is correct as it represents a p-value that is considerably smaller than common significance levels such as 0.05 or 0.01, suggesting a very statistically significant result.