There are only two alternative ways to understand the context: confidence intervals and p-values, which both quantify population parameters based on sample data. P-values do not include information about how the data was gathered or how many hypotheses were tested. I suppose it is better to calculate and show a confidence range in addition to a p-value rather than simply providing a p-value. So, if the null hypothesis value is outside the 95% confidence interval, and the p-value is less than 0.05, would that imply that the null hypothesis is true