Given the following randomly selected observations, use the Wilcoxon signed rank test and the 0.01 level of significance in examining whether the population median could be greater than 37.0. Using the appropriate statistical table, what is the most accurate statement that can be made about the p-value for the test?

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34.6 40.0 33.8 47.7 41.4 40.2 47.0 39.5 36.1 48.1 39.1 45.0 45.7 46.6